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The lowest value of x, \"a<\/strong>\", is a = *0*. The highest value of x, \"b<\/strong>\", is b = *14*. The theoretical mean, miu <\/strong>= *7* passengers : no decimals please because you cannot (nicely) have part of a person, and the standard devation<\/strong>, sigma = *4.04* passengers :to two decimal places.<\/p>\n"]},"subContentId":"1e0d6b90-e7b7-462a-80ae-4c458bf08788","metadata":{"contentType":"Fill in the Blanks","license":"U","title":"Untitled Fill in the Blanks"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":15.250544662309368,"y":60.141075268817204,"width":14.052287581699346,"height":23.65591397849462,"action":{"library":"H5P.Shape 1.0","params":{"shape":{"fillColor":"#fff","borderWidth":"0","borderStyle":"solid","borderColor":"#000","borderRadius":"0"},"type":"rectangle","line":{"borderColor":"#000000","borderWidth":"1","borderStyle":"solid"}},"metadata":{"contentType":"Shapes","license":"U"},"subContentId":"86b3865a-cb97-4a14-8521-185c1e047398"},"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false},{"x":25.925925925925927,"y":55.91397849462365,"width":29.411764705882355,"height":27.741935483870964,"action":{"library":"H5P.Shape 1.0","params":{"shape":{"fillColor":"#fff","borderWidth":"0","borderStyle":"solid","borderColor":"#000","borderRadius":"0"},"type":"rectangle","line":{"borderColor":"#000000","borderWidth":"1","borderStyle":"solid"}},"metadata":{"contentType":"Shapes","license":"U"},"subContentId":"03fa1b22-cf3e-401c-9dcb-ce32452df28a"},"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false},{"x":2.178649237472767,"y":53.69634408602151,"width":14.161220043572985,"height":27.741935483870964,"action":{"library":"H5P.Shape 1.0","params":{"shape":{"fillColor":"#fff","borderWidth":"0","borderStyle":"solid","borderColor":"#000","borderRadius":"0"},"type":"rectangle","line":{"borderColor":"#000000","borderWidth":"1","borderStyle":"solid"}},"subContentId":"bfd33080-cf53-4fa9-9d24-a4d09ee4d3b5","metadata":{"contentType":"Shapes","license":"U"}},"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false},{"x":14.161220043572985,"y":60.21505376344086,"width":14.09,"height":27.831977000000002,"action":{"library":"H5P.Shape 1.0","params":{"line":{"borderWidth":"2","borderStyle":"solid","borderColor":"rgb(241, 30, 197)"},"type":"horizontal-line","shape":{"fillColor":"#ffffff","borderColor":"#000000","borderWidth":"0","borderStyle":"solid","borderRadius":"0"}},"subContentId":"16838bc4-78a9-4456-b0b2-910edb80b5bd","metadata":{"contentType":"Shapes","license":"U"}},"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false},{"x":37.03703703703704,"y":29.852043010752688,"width":15.14161220043573,"height":0.6451612903225806,"action":{"library":"H5P.Shape 1.0","params":{"line":{"borderWidth":"2","borderStyle":"solid","borderColor":"rgb(241, 30, 197)"},"type":"horizontal-line","shape":{"fillColor":"#ffffff","borderColor":"#000000","borderWidth":"0","borderStyle":"solid","borderRadius":"0"}},"metadata":{"contentType":"Shapes","license":"U"},"subContentId":"ceff7ab3-3bfc-4953-844a-86039db3166d"},"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false},{"x":4.357298474945534,"y":34.34817204301075,"width":6.5359477124183005,"height":0.6451612903225806,"action":{"library":"H5P.Shape 1.0","params":{"line":{"borderWidth":"2","borderStyle":"solid","borderColor":"rgb(241, 30, 197)"},"type":"horizontal-line","shape":{"fillColor":"#ffffff","borderColor":"#000000","borderWidth":"0","borderStyle":"solid","borderRadius":"0"}},"metadata":{"contentType":"Shapes","license":"U"},"subContentId":"e04832dd-1e2c-4050-9065-4a628e957bac"},"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false},{"x":4.357298474945534,"y":62.36559139784946,"width":43.57298474945534,"height":5.161290322580645,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

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Open Stax 5.3 The Exponential <\/strong>Distribution<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"1a1da4f9-1a18-4765-bf0f-6023999b6339"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.0893246187363834,"y":2.1438172043010755,"width":43.57298474945534,"height":64.51612903225806,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","file":{"path":"images\/file-5f5f98b56cae8.png","mime":"image\/png","copyright":{"license":"U"},"width":600,"height":450},"alt":"The exponential distribution","title":"The exponential distribution"},"subContentId":"2fb06a5f-9b40-4c10-b707-879d5be4537e","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":45.751633986928105,"y":2.1438172043010755,"width":43.57298474945534,"height":64.51612903225806,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"The exponential distribution","title":"The exponential distribution","file":{"path":"images\/file-5f5f98d0a60a4.png","mime":"image\/png","copyright":{"license":"U"},"width":600,"height":450}},"subContentId":"e72895b2-0056-437b-98cc-5ec1ca7477d1","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":13.071895424836601,"y":79.56989247311827,"width":28.43137254901961,"height":5.161290322580645,"action":{"library":"H5P.Audio 1.5","params":{"fitToWrapper":true,"playerMode":"full","controls":true,"autoplay":true,"playAudio":"Play audio","pauseAudio":"Pause audio","contentName":"Audio","audioNotSupported":"Your browser does not support this audio","files":[{"path":"audios\/files-5f6a37e92153b.m4a","mime":"audio\/mp4","copyright":{"license":"U"}}]},"subContentId":"cc944092-789d-46bc-9197-2556565f3b03","metadata":{"contentType":"Audio","license":"U","title":"Untitled Audio"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":61.00217864923747,"y":92.25806451612904,"width":37.03703703703704,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Johnson, R. and Kuby, P. (2012) STAT2<\/strong> Chapter 6<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"7e5aa19d-6938-4cea-b2aa-d65619e963b5"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.0893246187363834,"y":2.1438172043010755,"width":78.43137254901961,"height":87.31182795698923,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"Normal approximation of the binomial","title":"Normal approximation of the binomial","file":{"path":"images\/file-5f60e5a751aee.png","mime":"image\/png","copyright":{"license":"U"},"width":800,"height":450}},"subContentId":"1455ab4a-9ed2-405c-93ce-b97884175dfe","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":69.71677559912854,"y":30.10752688172043,"width":25.163398692810457,"height":5.161290322580645,"action":{"library":"H5P.Audio 1.5","params":{"fitToWrapper":true,"playerMode":"full","controls":true,"autoplay":true,"playAudio":"Play audio","pauseAudio":"Pause audio","contentName":"Audio","audioNotSupported":"Your browser does not support this audio","files":[{"path":"audios\/files-5f6a390e5978f.m4a","mime":"audio\/mp4","copyright":{"license":"U"}}]},"metadata":{"contentType":"Audio","license":"U","title":"Untitled Audio"},"subContentId":"249ad6eb-1afb-4b2c-8426-cade43e24788"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":0.2178649237472767,"y":1.2903225806451613,"width":54.46623093681917,"height":80.64516129032258,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"The exponential distribution","title":"The exponential distribution","file":{"path":"images\/file-5f5f9906a37dd.png","mime":"image\/png","copyright":{"license":"U"},"width":600,"height":450}},"subContentId":"82910a46-3c97-4eca-976f-7ccf689f4fb2","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":55.55555555555556,"y":2.1169354838709675,"width":44.44444444444444,"height":88.17204301075269,"action":{"library":"H5P.Blanks 1.14","params":{"media":{"disableImageZooming":false},"text":"

Fill in the missing values <\/p>\n","overallFeedback":[{"from":0,"to":100}],"showSolutions":"Show solution","tryAgain":"Retry","checkAnswer":"Check","notFilledOut":"Please fill in all blanks to view solution","answerIsCorrect":"':ans' is correct","answerIsWrong":"':ans' is wrong","answeredCorrectly":"Answered correctly","answeredIncorrectly":"Answered incorrectly","solutionLabel":"Correct answer:","inputLabel":"Blank input @num of @total","inputHasTipLabel":"Tip available","tipLabel":"Tip","behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"autoCheck":false,"caseSensitive":true,"showSolutionsRequiresInput":true,"separateLines":false,"confirmCheckDialog":false,"confirmRetryDialog":false,"acceptSpellingErrors":false},"scoreBarLabel":"You got :num out of :total points","confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"},"questions":["

P (x < 5)<\/strong> is *0.7135* : remember, probabilities ALWAYS have 4 digits after the decimal, for example 0.2222. P (x < 4) <\/strong>is *0.6321* and P (x < 5) - P (x < 4) = <\/strong>*0.0814* Therefore the likelihood (probability) that a postal clerk spends four to five minutes with a randomly selected customer is then about *8*% when expressed as a percentage <\/strong>instead of as a probability <\/strong>(which is always between 0 and 1): no digits after the decimal for your percentage number please<\/em><\/p>\n"]},"subContentId":"d30eb563-2287-4a38-8142-824eb62cd22b","metadata":{"contentType":"Fill in the Blanks","license":"U","title":"Untitled Fill in the Blanks"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":22.54901960784314,"y":67.5268817204301,"width":14.052287581699346,"height":10.75268817204301,"action":{"library":"H5P.Shape 1.0","params":{"shape":{"fillColor":"#fff","borderWidth":"0","borderStyle":"solid","borderColor":"#000","borderRadius":"0"},"type":"rectangle","line":{"borderColor":"#000000","borderWidth":"1","borderStyle":"solid"}},"subContentId":"a4427108-09d9-4ef1-b1bc-eff1c5472426","metadata":{"contentType":"Shapes","license":"U"}},"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false},{"x":0.8714596949891068,"y":78.68279569892474,"width":52.287581699346404,"height":16.344086021505376,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","file":{"path":"images\/file-5f5fff034d6dd.png","mime":"image\/png","copyright":{"license":"U"},"width":559,"height":82},"alt":"Postal clerk","title":"Postal clerk"},"subContentId":"3e8f504a-75c9-44e6-ab1b-b1c0027b1349","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":61.00217864923747,"y":92.25806451612905,"width":37.03703703703704,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

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Johnson, R. and Kuby, P. (2012) STAT2<\/strong> Chapter 6<\/p>\n"},"subContentId":"b7b45f83-b341-487d-8d2d-c71e9d2aa13c","metadata":{"contentType":"Text","license":"U","title":"Untitled Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":18.51851851851852,"y":75.26881720430107,"width":26.25272331154684,"height":5.161290322580645,"action":{"library":"H5P.Audio 1.5","params":{"fitToWrapper":true,"playerMode":"full","controls":true,"autoplay":true,"playAudio":"Play audio","pauseAudio":"Pause audio","contentName":"Audio","audioNotSupported":"Your browser does not support this audio","files":[{"path":"audios\/files-5f6a3d67c5119.m4a","mime":"audio\/mp4","copyright":{"license":"U"}}]},"subContentId":"d8655fd1-a1c2-46f8-b91a-1c5db5274866","metadata":{"contentType":"Audio","license":"U","title":"Untitled Audio"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":61.00217864923747,"y":92.47311827956989,"width":37.03703703703704,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

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Johnson, R. and Kuby, P. (2012) STAT2<\/strong> Chapter 6<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"274d2f6e-92a7-4abb-9e3f-f71864996009"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":54.46623093681917,"y":4.29436559139785,"width":23.965141612200437,"height":10.75268817204301,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

You have this table, Table 3 from Appendix B, on D2L<\/p>\n"},"subContentId":"aceba932-d2a1-449e-a28f-03dde65b4720","metadata":{"contentType":"Text","license":"U","title":"Untitled Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":63.18082788671024,"y":47.31182795698924,"width":25.163398692810457,"height":5.161290322580645,"action":{"library":"H5P.Audio 1.5","params":{"fitToWrapper":true,"playerMode":"full","controls":true,"autoplay":true,"playAudio":"Play audio","pauseAudio":"Pause audio","contentName":"Audio","audioNotSupported":"Your browser does not support this audio","files":[{"path":"audios\/files-5f6a3e6e7558d.m4a","mime":"audio\/mp4","copyright":{"license":"U"}}]},"subContentId":"d7012381-0c5f-40f3-b0aa-f3282fd5b435","metadata":{"contentType":"Audio","license":"U","title":"Untitled Audio"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":61.00217864923747,"y":92.47311827956989,"width":37.03703703703704,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Open Stax 6.1 The Normal <\/strong>Distribution<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"1a1da4f9-1a18-4765-bf0f-6023999b6339"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.0893246187363834,"y":2.1438172043010755,"width":46.84095860566449,"height":69.24731182795698,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"The Normal Distribution","title":"The Normal Distribution","file":{"path":"images\/file-5f5f9a8ae0c1b.png","mime":"image\/png","copyright":{"license":"U"},"width":600,"height":450}},"subContentId":"c946b4d4-f635-4004-8c8f-0c43811bc153","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":48.474945533769066,"y":3.0040430107526883,"width":46.514161220043576,"height":68.81720430107526,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"The Normal Distribution","title":"The Normal Distribution","file":{"path":"images\/file-5f5f9a98cc806.png","mime":"image\/png","copyright":{"license":"U"},"width":600,"height":450}},"subContentId":"7b364ca2-98af-4fe3-a7a8-b1b075fbc8b4","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":3.812636165577342,"y":34.40860215053763,"width":8.714596949891067,"height":4.301075268817204,"action":{"library":"H5P.Shape 1.0","params":{"shape":{"fillColor":"rgba(255, 255, 255, 0)","borderWidth":"1","borderStyle":"solid","borderColor":"rgb(247, 4, 4)","borderRadius":"0"},"type":"rectangle","line":{"borderColor":"#000000","borderWidth":"1","borderStyle":"solid"}},"subContentId":"74d82c9e-ae2e-4dbf-b2d8-a9d5533b2ad0","metadata":{"contentType":"Shapes","license":"U"}},"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false},{"x":3.2679738562091503,"y":59.13978494623655,"width":7.625272331154684,"height":8.387096774193548,"action":{"library":"H5P.Shape 1.0","params":{"shape":{"fillColor":"rgba(255, 255, 255, 0)","borderWidth":"1","borderStyle":"solid","borderColor":"rgb(247, 4, 4)","borderRadius":"0"},"type":"rectangle","line":{"borderColor":"#000000","borderWidth":"1","borderStyle":"solid"}},"metadata":{"contentType":"Shapes","license":"U"},"subContentId":"3a4440af-82e3-4cb7-8654-61c2a934e68e"},"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false},{"x":7.625272331154684,"y":73.11827956989247,"width":35.947712418300654,"height":21.50537634408602,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

You are going to use this equation approximately 1 million times in this course...here I have outlined it in red twice, it has just been re-arranged<\/strong><\/span><\/em><\/p>\n"},"subContentId":"ae55f213-c326-4e00-9167-a37bc2b9858d","metadata":{"contentType":"Text","license":"U","title":"Untitled Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":52.287581699346404,"y":77.41935483870967,"width":24.074074074074076,"height":5.161290322580645,"action":{"library":"H5P.Audio 1.5","params":{"fitToWrapper":true,"playerMode":"full","controls":true,"autoplay":true,"playAudio":"Play audio","pauseAudio":"Pause audio","contentName":"Audio","audioNotSupported":"Your browser does not support this audio","files":[{"path":"audios\/files-5f6a3ef6e8d21.m4a","mime":"audio\/mp4","copyright":{"license":"U"}}]},"subContentId":"64230f70-73ce-4323-9417-dce2b9f0403d","metadata":{"contentType":"Audio","license":"U","title":"Untitled Audio"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":5.446623093681917,"y":73.11827956989247,"width":37.03703703703704,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Fill in the missing values and scroll down to check your answer<\/p>\n","overallFeedback":[{"from":0,"to":100}],"showSolutions":"Show solution","tryAgain":"Retry","checkAnswer":"Check","notFilledOut":"Please fill in all blanks to view solution","answerIsCorrect":"':ans' is correct","answerIsWrong":"':ans' is wrong","answeredCorrectly":"Answered correctly","answeredIncorrectly":"Answered incorrectly","solutionLabel":"Correct answer:","inputLabel":"Blank input @num of @total","inputHasTipLabel":"Tip available","tipLabel":"Tip","behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"autoCheck":false,"caseSensitive":true,"showSolutionsRequiresInput":true,"separateLines":false,"confirmCheckDialog":false,"confirmRetryDialog":false,"acceptSpellingErrors":false},"scoreBarLabel":"You got :num out of :total points","confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"},"questions":["

Weight loss has a normal <\/strong>distribution. What is the (miu<\/strong>) given in the question? Miu = *5* pounds lost on average, per person, per month. What is the standard deviation, sigma<\/strong>, given in the question? Sigma = *2* pounds. What is the value for x<\/strong> given in the question? x = *10* pounds lost by a person in a month. Given that z = <\/strong>((x - miu)\/sigma), what is z? z = *2.50*: z values always have 2 digits after the decimal. This means that the person who lost 10 pounds was 2.5 standard deviations above (= right of) the mean (average) value in terms of weight loss. Note: I hope that person doesn't have an eating disorder or other illness.<\/em><\/p>\n"]},"subContentId":"c619470f-08d3-4bb8-ab2a-dc9c6fa9bc1e","metadata":{"contentType":"Fill in the Blanks","license":"U","title":"Untitled Fill in the Blanks"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.5250544662309369,"y":45.59139784946236,"width":40.30501089324619,"height":18.279569892473116,"action":{"library":"H5P.Shape 1.0","params":{"shape":{"fillColor":"#fff","borderWidth":"0","borderStyle":"solid","borderColor":"#000","borderRadius":"0"},"type":"rectangle","line":{"borderColor":"#000000","borderWidth":"1","borderStyle":"solid"}},"subContentId":"3ce7ccae-4c31-4c94-8596-83683f2aa0c2","metadata":{"contentType":"Shapes","license":"U"}},"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false},{"x":7.625272331154684,"y":88.17204301075269,"width":24.074074074074076,"height":5.161290322580645,"action":{"library":"H5P.Audio 1.5","params":{"fitToWrapper":true,"playerMode":"full","controls":true,"autoplay":true,"playAudio":"Play audio","pauseAudio":"Pause audio","contentName":"Audio","audioNotSupported":"Your browser does not support this audio","files":[{"path":"audios\/files-5f6a3fb6188fb.m4a","mime":"audio\/mp4","copyright":{"license":"U"}}]},"subContentId":"af0dc013-0d07-411d-b4a7-3f70051197bb","metadata":{"contentType":"Audio","license":"U","title":"Untitled Audio"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":3.2679738562091503,"y":68.81720430107526,"width":37.03703703703704,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Weight loss has a normal <\/strong>distribution. What is the (miu<\/strong>) given in the question? Miu = *5* pounds lost on average, per person, per month. What is the standard deviation, sigma<\/strong>, given in the question? Sigma = *2* pounds. What is the value for x<\/strong> given in the question? x = *-3* pounds \"lost\" by a person in a month. Given that z = <\/strong>((x - miu)\/sigma), what is z? z = *-4.00*: z values always have 2 digit safter the decimal. This means that the person who gained 3 pounds was 4 standard deviations below (= left of) the mean (average) value in terms of weight loss. Note: maybe this person was gaining muscle mass.<\/em><\/p>\n"]},"metadata":{"contentType":"Fill in the Blanks","license":"U","title":"Untitled Fill in the Blanks"},"subContentId":"6f4e2d1d-1fd1-440f-91e7-30b45d22c585"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":0,"y":0,"width":58.463965457268216,"height":33.33333333333333,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"The Normal Distribution","title":"The Normal Distribution","file":{"path":"images\/file-5f600a99bbe19.png","mime":"image\/png","copyright":{"license":"U"},"width":537,"height":155}},"subContentId":"c9c13f3f-677d-46d7-be41-db8719389aab","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.0893246187363834,"y":17.204301075268816,"width":55.88235294117647,"height":15.053763440860214,"action":{"library":"H5P.Shape 1.0","params":{"shape":{"fillColor":"#fff","borderWidth":"0","borderStyle":"solid","borderColor":"#000","borderRadius":"0"},"type":"rectangle","line":{"borderColor":"#000000","borderWidth":"1","borderStyle":"solid"}},"subContentId":"f72181ff-b5e5-4a0e-b110-de4bd1e5e2f6","metadata":{"contentType":"Shapes","license":"U"}},"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false},{"x":62.091503267973856,"y":92.47311827956989,"width":37.03703703703704,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

For random variable X: What is the (miu<\/strong>) given in the question? Miu = *5*. What is the standard deviation, sigma<\/strong>, given in the question? Sigma = *6*. What is the x given in the question? x = *17*. Using the equation z = ((x-miu)\/sigma)), z = *2.00*: recall, z scores always have 2 digits after the decimal place.<\/p>\n\n

For random variable Y: What is the (miu<\/strong>) given in the question? Miu = *2*. What is the standard deviation, sigma<\/strong>, given in the question? Sigma = *1*. What is the y given in the question? y = *4*. Using the equation z = ((y-miu)\/sigma)), z = *2.00*: recall, z scores always have 2 digits after the decimal place.<\/p>\n\n

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what is z?<\/p>\n"},"subContentId":"fcbd3f8e-e80e-4072-8155-00c5eb8332a8","metadata":{"contentType":"Text","license":"U","title":"Untitled Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":6.5359477124183005,"y":81.72043010752688,"width":37.03703703703704,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

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Johnson, R. and Kuby, P. (2012) STAT2<\/strong> Chapter 6<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"8b4e57fb-a8e0-4f62-9ce3-7507f2d9a45a"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":51.19825708061002,"y":72.85612903225807,"width":46.84095860566449,"height":23.65591397849462,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Since I am apparently historical according to your textbook...LOL, this is how I prefer to do the calculations. I use the z table instead of a calculator. I put this table, from your supplementary <\/em>textbook STAT2, on D2L for you.<\/strong><\/span><\/p>\n"},"subContentId":"bf69241a-5019-49e2-afc6-2e8db4d9925b","metadata":{"contentType":"Text","license":"U","title":"Untitled Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":64.27015250544663,"y":64.51612903225806,"width":21.895424836601308,"height":5.161290322580645,"action":{"library":"H5P.Audio 1.5","params":{"fitToWrapper":true,"playerMode":"full","controls":true,"autoplay":true,"playAudio":"Play audio","pauseAudio":"Pause audio","contentName":"Audio","audioNotSupported":"Your browser does not support this audio","files":[{"path":"audios\/files-5f6a4388c0474.m4a","mime":"audio\/mp4","copyright":{"license":"U"}}]},"subContentId":"8a7f7efe-4ebb-416b-8f42-35ac6670e7dc","metadata":{"contentType":"Audio","license":"U","title":"Untitled Audio"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":2.178649237472767,"y":92.47311827956989,"width":42.48366013071895,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Johnson, R. and Kuby, P. (2012) STAT2<\/strong> Chapter 6<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"e2baf004-85d3-492a-b90d-7126deed1e60"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.0893246187363834,"y":2.1438172043010755,"width":75.38126361655773,"height":83.87096774193547,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","file":{"path":"images\/file-5f5fd55455e4c.png","mime":"image\/png","copyright":{"license":"U"},"width":800,"height":450},"alt":"norm calc","title":"norm calc"},"subContentId":"c460fbe7-09c9-4941-a769-1e064f16a817","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":64.27015250544663,"y":90.32258064516128,"width":26.25272331154684,"height":5.161290322580645,"action":{"library":"H5P.Audio 1.5","params":{"fitToWrapper":true,"playerMode":"full","controls":true,"autoplay":true,"playAudio":"Play audio","pauseAudio":"Pause audio","contentName":"Audio","audioNotSupported":"Your browser does not support this audio","files":[{"path":"audios\/files-5f6a442429b30.m4a","mime":"audio\/mp4","copyright":{"license":"U"}}]},"subContentId":"472bc01e-29a0-4cfc-9160-7f39edba6b53","metadata":{"contentType":"Audio","license":"U","title":"Untitled Audio"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":60.130718954248366,"y":92.25806451612902,"width":39.21568627450981,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Open Stax 6.2 Using the Normal <\/strong>Distribution<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"fb90871c-be33-4fd8-b08f-965592349336"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.0893246187363834,"y":0,"width":43.57298474945534,"height":64.51612903225806,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"Using the normal curve","title":"Using the normal curve","file":{"path":"images\/file-5f5f9d029ff0e.png","mime":"image\/png","copyright":{"license":"U"},"width":600,"height":450}},"subContentId":"2f6f3cb2-58df-4430-90b9-793b47ebb724","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":56.64488017429194,"y":2.150537634408602,"width":42.48366013071895,"height":62.79569892473118,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"Using the normal curve","title":"Using the normal cuve","file":{"path":"images\/file-5f5f9d2d02d7b.png","mime":"image\/png","copyright":{"license":"U"},"width":600,"height":450}},"subContentId":"b3523589-114a-4bb6-b6a8-ae62a0a517a7","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":0.8714596949891068,"y":68.6963440860215,"width":95.86056644880175,"height":30.10752688172043,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

I look at this and my head hurts. WHAT? I just don't want to type this into my calculator. I guess am a DINOSAUR. If you like doing it on your calculator rock on. If you want to do it my way - I use the z table. The question tells us that the score (x<\/strong>) is 65. It tells us that the average (miu<\/strong>) score is 63. It tells us that the standard deviation (sigma<\/strong>) is 5. Remember our old friend? z = (x - miu)\/sigma z = (65 - 63)\/5 = 0.4 <\/strong>Then see the next slide to see how I just use the z-table and totally avoid typing in this whole mess on a calculator<\/p>\n"},"subContentId":"303e95b5-5db5-4595-ac8e-5e1877c05faf","metadata":{"contentType":"Text","license":"U","title":"Untitled Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.7429193899782136,"y":93.54838709677419,"width":53.37690631808279,"height":6.451612903225806,"action":{"library":"H5P.Link 1.3","params":{"linkWidget":{"protocol":"https:\/\/","url":"www.learner.org\/series\/against-all-odds-inside-statistics\/normal-calculations\/"},"title":"Please watch this 13 minute video about normal calculations"},"metadata":{"contentType":"Link","license":"U"},"subContentId":"0d283aca-9978-4a1b-bdff-942720bc9a82"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":34.85838779956427,"y":38.70967741935483,"width":22.984749455337692,"height":5.161290322580645,"action":{"library":"H5P.Audio 1.5","params":{"fitToWrapper":true,"playerMode":"full","controls":true,"autoplay":true,"playAudio":"Play audio","pauseAudio":"Pause audio","contentName":"Audio","audioNotSupported":"Your browser does not support this audio","files":[{"path":"audios\/files-5f6a44de6c466.m4a","mime":"audio\/mp4","copyright":{"license":"U"}}]},"subContentId":"90e290cb-456a-4b2a-8e4c-95315e59ab52","metadata":{"contentType":"Audio","license":"U","title":"Untitled Audio"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":3.2679738562091507,"y":32.758709677419354,"width":44.66230936819172,"height":66.23655913978494,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"Using the normal curve","title":"Using the normal curve","file":{"path":"images\/file-5f5f9d5aa067f.png","mime":"image\/png","copyright":{"license":"U"},"width":600,"height":450}},"subContentId":"e59be985-daab-4520-b69b-1010cd75268b","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":5.446623093681917,"y":90.32258064516128,"width":35.18518518518518,"height":6.451612903225806,"action":{"library":"H5P.Shape 1.0","params":{"shape":{"fillColor":"#fff","borderWidth":"0","borderStyle":"solid","borderColor":"rgb(0, 0, 0)","borderRadius":"0"},"type":"rectangle","line":{"borderColor":"#000000","borderWidth":"1","borderStyle":"solid"}},"subContentId":"7dbfe6c7-e440-4590-91f1-1898fea6ed2e","metadata":{"contentType":"Shapes","license":"U"}},"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false},{"x":49.23747276688453,"y":92.47311827956989,"width":50.10893246187364,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

I guess I<\/span> am historical, because this is still how I do it<\/strong><\/p>\n"},"subContentId":"6a79c98e-a3c3-4292-9ced-4bb9a6030f8f","metadata":{"contentType":"Text","license":"U","title":"Untitled Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":41.394335511982575,"y":2.150537634408602,"width":58.651171233020484,"height":40,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","file":{"path":"images\/file-5f6013f9b1d1f.png","mime":"image\/png","copyright":{"license":"U"},"width":1425,"height":492},"alt":"Table3","title":"Table3"},"subContentId":"d61fa029-7aa2-40e3-a345-dd68228f558a","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":6.5359477124183005,"y":90.32258064516128,"width":39.21568627450981,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Johnson, R. and Kuby, P. (2012) STAT2. Table 3 from Appendix B.<\/strong><\/span><\/p>\n"},"subContentId":"75c54aa5-862e-4f11-b04c-55981a7f3ab4","metadata":{"contentType":"Text","license":"U","title":"Untitled Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":79.520697167756,"y":50.75268817204301,"width":18.929430642346016,"height":40,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","file":{"path":"images\/file-5f6015c6d02a6.png","mime":"image\/png","copyright":{"license":"U"},"width":860,"height":920},"alt":"dinosaur"},"subContentId":"1c9d7bba-25fa-471b-8b75-23fa9e1c4891","metadata":{"contentType":"Image","license":"U","title":"Untitled Image","source":"https:\/\/www.kindpng.com\/picc\/m\/157-1578648_dinosaur-clipart-images-the-good-dinosaur-clip-art.png"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":56.64488017429194,"y":55.91397849462365,"width":23.965141612200437,"height":5.161290322580645,"action":{"library":"H5P.Audio 1.5","params":{"fitToWrapper":true,"playerMode":"full","controls":true,"autoplay":true,"playAudio":"Play audio","pauseAudio":"Pause audio","contentName":"Audio","audioNotSupported":"Your browser does not support this audio","files":[{"path":"audios\/files-5f6a45850cde8.m4a","mime":"audio\/mp4","copyright":{"license":"U"}}]},"subContentId":"77542c36-8483-46cd-bf96-6fe89e823b01","metadata":{"contentType":"Audio","license":"U","title":"Untitled Audio"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":2.178649237472767,"y":92.47311827956989,"width":42.48366013071895,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Open Stax 6.2 Using the Normal Distribution<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"fb90871c-be33-4fd8-b08f-965592349336"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.0893246187363834,"y":2.1370967741935485,"width":56.64488017429194,"height":83.65591397849462,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"Using the Normal Distribution","title":"Using the Normal Distribution","file":{"path":"images\/file-5f5f9ef84171a.png","mime":"image\/png","copyright":{"license":"U"},"width":600,"height":450}},"subContentId":"caed191d-75cd-4d5a-a71b-627a4294490b","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":58.82352941176471,"y":4.301075268817204,"width":39.97821350762527,"height":10.75268817204301,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

This is how you can do the question using a calculator, if that is your thing.<\/p>\n"},"subContentId":"6578a93c-0083-4c40-bf94-0e22ba246372","metadata":{"contentType":"Text","license":"U","title":"Untitled Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":58.82352941176471,"y":25.688817204301074,"width":22.875816993464053,"height":64.51612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

...or you can instead just<\/p>\n\n

do like me and -<\/p>\n\n

z = (x - miu)\/sigma <\/strong><\/p>\n\n

z = (65 - 63)\/5 = 0.4<\/strong><\/p>\n\n

Looking at table 3<\/strong><\/em><\/p>\n\n

the probability is 0.6554<\/strong><\/em><\/p>\n\n

which means ~66th<\/strong><\/em><\/p>\n\n

percentile<\/strong><\/em><\/p>\n"},"subContentId":"fff1b2e5-1165-4975-a049-b201e435b5ee","metadata":{"contentType":"Text","license":"U","title":"Untitled Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":81.180174291939,"y":49.43204301075269,"width":17.973856209150327,"height":47.096774193548384,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"table3","title":"table3","file":{"path":"images\/file-5f60165f1e018.png","mime":"image\/png","copyright":{"license":"U"},"width":347,"height":460}},"subContentId":"3a5b7a09-8aaf-4440-85bb-ef2c277da198","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":68.62745098039215,"y":17.204301075268816,"width":26.25272331154684,"height":5.161290322580645,"action":{"library":"H5P.Audio 1.5","params":{"fitToWrapper":true,"playerMode":"full","controls":true,"autoplay":true,"playAudio":"Play audio","pauseAudio":"Pause audio","contentName":"Audio","audioNotSupported":"Your browser does not support this audio","files":[{"path":"audios\/files-5f6a45f55eda1.m4a","mime":"audio\/mp4","copyright":{"license":"U"}}]},"subContentId":"d2c56381-1c40-4315-b4b7-ea760026b1df","metadata":{"contentType":"Audio","license":"U","title":"Untitled Audio"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":1.0893246187363834,"y":2.1370967741935485,"width":52.287581699346404,"height":77.20430107526882,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"Using the Normal Distribution","title":"Using the Normal Distribution","file":{"path":"images\/file-5f5f9f0870d6f.png","mime":"image\/png","copyright":{"license":"U"},"width":600,"height":450}},"metadata":{"contentType":"Image","license":"U","title":"Untitled Image"},"subContentId":"5583d6f8-fd35-47d6-bae5-480de7397240"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":6.5359477124183005,"y":88.17204301075269,"width":39.21568627450981,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Open Stax 6.2 Using the Normal <\/strong>Distribution<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"89e34157-fde5-4e46-993e-29eb52b1242a"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":15.250544662309368,"y":70.96774193548387,"width":29.411764705882355,"height":5.161290322580645,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Again, practicing with a calculator.<\/p>\n"},"subContentId":"b99d9c02-0807-4810-9200-2a87d2e53304","metadata":{"contentType":"Text","license":"U","title":"Untitled Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":54.46623093681917,"y":6.438172043010752,"width":42.48366013071895,"height":32.25806451612903,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

...or you can instead just do like me and -<\/p>\n\n

z = (x - miu)\/sigma = (85 - 63)\/5 = 4.4<\/strong><\/p>\n\n

Looking at table 3 <\/strong><\/em>the probability is 0.9997 <\/strong><\/em>which means ~99th <\/strong><\/em>percentile<\/strong><\/em><\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"fb509dc1-642b-49ae-828b-7b33d620b8af"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":54.21601307189542,"y":42.983870967741936,"width":44.771241830065364,"height":55.05376344086021,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","file":{"path":"images\/file-5f6018cc1fc47.png","mime":"image\/png","copyright":{"license":"U"},"width":1026,"height":637},"alt":"table 3","title":"table 3"},"subContentId":"08282c66-03c2-48ad-86dd-f62df30dd809","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":11.982570806100219,"y":58.064516129032256,"width":31.69934640522876,"height":5.161290322580645,"action":{"library":"H5P.Audio 1.5","params":{"fitToWrapper":true,"playerMode":"full","controls":true,"autoplay":true,"playAudio":"Play audio","pauseAudio":"Pause audio","contentName":"Audio","audioNotSupported":"Your browser does not support this audio","files":[{"path":"audios\/files-5f6a4674cc0ed.m4a","mime":"audio\/mp4","copyright":{"license":"U"}}]},"subContentId":"59c65efb-ddda-4bb1-aedd-323fce61cff0","metadata":{"contentType":"Audio","license":"U","title":"Untitled Audio"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":1.0893246187363834,"y":2.1438172043010755,"width":51.30718954248366,"height":94.62365591397848,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","file":{"path":"images\/file-5f60de7772aec.png","mime":"image\/png","copyright":{"license":"U"},"width":446,"height":416},"alt":"Determining percentiles","title":"Determining percentiles"},"subContentId":"0c09af24-80e8-4cbf-a5cb-526e85b36350","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":54.46623093681917,"y":86.02150537634408,"width":39.97821350762527,"height":10.75268817204301,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Johnson, R. and Kuby, P. (2012) STAT2<\/strong> Chapter 6, section 6.3<\/p>\n"},"subContentId":"58510ec4-ea58-4318-8341-e8b89af26eeb","metadata":{"contentType":"Text","license":"U","title":"Untitled Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":65.359477124183,"y":19.354838709677416,"width":27.233115468409586,"height":5.161290322580645,"action":{"library":"H5P.Audio 1.5","params":{"fitToWrapper":true,"playerMode":"full","controls":true,"autoplay":true,"playAudio":"Play audio","pauseAudio":"Pause audio","contentName":"Audio","audioNotSupported":"Your browser does not support this audio","files":[{"path":"audios\/files-5f6a474ef19ce.m4a","mime":"audio\/mp4","copyright":{"license":"U"}}]},"subContentId":"981adba6-c750-4fbc-b9e7-79642928bdd4","metadata":{"contentType":"Audio","license":"U","title":"Untitled Audio"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":2.178649237472767,"y":68.81720430107526,"width":39.21568627450981,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Again, practicing with a calculator.<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"a8d3af08-ccbd-4d2e-84b0-0551ca71462b"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":45.751633986928105,"y":47.31182795698924,"width":52.287581699346404,"height":51.397849462365585,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

...or you can instead just do like me and -<\/p>\n\n

Looking at table 3 the probability we need is 0.900 which means 90th percentile. The closest that we can get is 0.8997 for a z value of 1.28<\/p>\n\n

Recall that z = (x - miu)\/sigma can be rearranged as: <\/p>\n\n

x = miu + z * sigma<\/strong><\/p>\n\n

x = 63 + 1.28(5) = 69.4<\/p>\n\n

<\/p>\n\n

<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"0bfc4a46-0e68-40a7-ae3b-629987949f53"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":50.10893246187364,"y":2.150537634408602,"width":49.12785577943945,"height":40,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","file":{"path":"images\/file-5f601aa0a69ab.png","mime":"image\/png","copyright":{"license":"U"},"width":1378,"height":568},"alt":"Table 3","title":"Table 3"},"subContentId":"cbd2e5eb-472d-4edb-adc5-383b817d1e75","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":7.625272331154684,"y":81.72043010752688,"width":29.52069716775599,"height":5.161290322580645,"action":{"library":"H5P.Audio 1.5","params":{"fitToWrapper":true,"playerMode":"full","controls":true,"autoplay":true,"playAudio":"Play audio","pauseAudio":"Pause audio","contentName":"Audio","audioNotSupported":"Your browser does not support this audio","files":[{"path":"audios\/files-5f6a4798dbd3e.m4a","mime":"audio\/mp4","copyright":{"license":"U"}}]},"subContentId":"db92c7e7-f322-4673-8ce0-5ef4f8381837","metadata":{"contentType":"Audio","license":"U","title":"Untitled Audio"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":2.178649237472767,"y":92.47311827956989,"width":42.48366013071895,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Again, practicing with a calculator.<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"09d6edd9-2c16-45aa-835c-a13a2c8c2f2c"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":51.19825708061002,"y":45.107526881720425,"width":46.84095860566449,"height":51.61290322580645,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

...or you can instead just do like me and find both probabilities on Table 3 and subtract them.<\/p>\n\n

z = (x - miu)\/sigma = (2.75<\/span> - 2)\/0.5 = 1.5<\/span><\/p>\n\n

z = (x - miu)\/sigma = (1.8<\/span> - 2)\/0.5 = -0.4<\/span><\/p>\n\n

Looking at table 3 the probabilities for those two z values are P (z < 2.75) = 0.9332<\/span> and P (z < 1.8) = 0.3446<\/span><\/em><\/p>\n\n

P(1.8 < x < 2.75) = 0.9332 - 0.3446 = 0.5886<\/strong><\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"65bfa324-0119-4cf9-867f-07ca595ab82b"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":59.912854030501094,"y":17.184129032258063,"width":28.43137254901961,"height":5.161290322580645,"action":{"library":"H5P.Audio 1.5","params":{"fitToWrapper":true,"playerMode":"full","controls":true,"autoplay":true,"playAudio":"Play audio","pauseAudio":"Pause audio","contentName":"Audio","audioNotSupported":"Your browser does not support this audio","files":[{"path":"audios\/files-5f6a480cd342e.m4a","mime":"audio\/mp4","copyright":{"license":"U"}}]},"subContentId":"d898ce6f-a6ae-4720-a56b-26c229af36bd","metadata":{"contentType":"Audio","license":"U","title":"Untitled Audio"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":2.178649237472767,"y":92.47311827956989,"width":42.48366013071895,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Johnson, R. and Kuby, P. (2012) STAT2<\/strong> Chapter 6<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"e2baf004-85d3-492a-b90d-7126deed1e60"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.0893246187363834,"y":2.1438172043010755,"width":79.19389978213508,"height":88.17204301075269,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"Normal calculations","title":"Normal calculations","file":{"path":"images\/file-5f5fd5ddd282e.png","mime":"image\/png","copyright":{"license":"U"},"width":800,"height":450}},"subContentId":"b4e272be-57a7-41be-b929-a29a991f7f15","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":71.89542483660131,"y":92.47311827956989,"width":24.074074074074076,"height":5.161290322580645,"action":{"library":"H5P.Audio 1.5","params":{"fitToWrapper":true,"playerMode":"full","controls":true,"autoplay":true,"playAudio":"Play audio","pauseAudio":"Pause audio","contentName":"Audio","audioNotSupported":"Your browser does not support this audio","files":[{"path":"audios\/files-5f6a49dbb6ba3.m4a","mime":"audio\/mp4","copyright":{"license":"U"}}]},"subContentId":"067e44dd-d092-47f2-ac9c-f6961824e4e3","metadata":{"contentType":"Audio","license":"U","title":"Untitled Audio"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":8.714596949891067,"y":88.17204301075269,"width":39.21568627450981,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Again, practicing with a calculator.<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"f90bb5db-98ab-4674-ba11-b069e40876e8"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":57.73420479302832,"y":4.270838709677419,"width":40.30501089324619,"height":94.62365591397848,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

...or you can instead just do like me and -<\/p>\n\n

Looking at table 3 the probability we need is 0.250 which means 25th percentile. The closest that we can get is 0.2514 for a z value of -0.67<\/p>\n\n

Recall that z = (x - miu)\/sigma can be rearranged as: <\/p>\n\n

x = miu + z * sigma<\/strong><\/p>\n\n

x = 2+ (-0.67)(0.5) = 1.67<\/p>\n\n

The 25th percentile is ~1.67 hours, this means that the maximum number of hours per day that the bottom quarter of households use a personal computer for entertainment is about 1.67 hours<\/p>\n\n

Are you worried that mine is 1.67 and the calculator is 1.66? Don't be. Remember, Table 3 couldn't get us to exactly <\/em>the 25th percentile.<\/p>\n\n

<\/p>\n\n

<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"7b352a8c-f38d-4d76-8384-94f377a7feec"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":15.250544662309368,"y":93.33333333333333,"width":27.342047930283226,"height":5.161290322580645,"action":{"library":"H5P.Audio 1.5","params":{"fitToWrapper":true,"playerMode":"full","controls":true,"autoplay":true,"playAudio":"Play audio","pauseAudio":"Pause audio","contentName":"Audio","audioNotSupported":"Your browser does not support this audio","files":[{"path":"audios\/files-5f6a4a4614d6c.m4a","mime":"audio\/mp4","copyright":{"license":"U"}}]},"subContentId":"c8541191-357a-4efc-ac20-3155f33acd11","metadata":{"contentType":"Audio","license":"U","title":"Untitled Audio"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":10.893246187363834,"y":88.17204301075269,"width":39.21568627450981,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Again, practicing with a calculator.<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"67094a35-716f-4b18-8402-3fd1b5ec7b30"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":58.496732026143796,"y":4.301075268817204,"width":40.30501089324619,"height":75.26881720430107,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

...or you can instead just do like me and -<\/p>\n\n

Looking at table 3 the probability we need is 0.800 which means 25th percentile. The closest that we can get is 0.7996 for a z value of 0.84<\/p>\n\n

Recall that z = (x - miu)\/sigma can be rearranged as: <\/p>\n\n

x = miu + z * sigma<\/strong><\/p>\n\n

x = 36.9+ 0.84(13.9) = 48.576<\/p>\n\n

The 80th percentile is ~48.6 years old, this means that 80% of smart phone users between the ages of 13 and 55+ are 48.6 years old or younger.<\/p>\n\n

<\/p>\n\n

<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"6b86dbd3-a920-4987-820b-aed05b13cb55"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":45.751633986928105,"y":92.47311827956989,"width":53.37690631808279,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Johnson, R. and Kuby, P. (2012) STAT2<\/strong> Chapter 6, section 6.3<\/p>\n"},"subContentId":"14ba9104-cb88-43b9-b309-ea9d8ac382b0","metadata":{"contentType":"Text","license":"U","title":"Untitled Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.0893246187363834,"y":2.1438172043010755,"width":77.34204793028323,"height":86.02150537634408,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"Population parameters","title":"Population parameters","file":{"path":"images\/file-5f60df69d0d7a.png","mime":"image\/png","copyright":{"license":"U"},"width":800,"height":450}},"subContentId":"06b59ad6-8fb2-4214-94da-ea31e7339109","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":57.734204793028326,"y":75.26881720430107,"width":39.21568627450981,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Open Stax 6.2 Using the Normal <\/strong>Distribution<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"fb90871c-be33-4fd8-b08f-965592349336"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.0893246187363834,"y":2.1438172043010755,"width":47.930283224400874,"height":70.96774193548387,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"Application of Normal Distribution","title":"Application of Normal Distribution","file":{"path":"images\/file-5f5f9fac1e5f2.png","mime":"image\/png","copyright":{"license":"U"},"width":600,"height":450}},"subContentId":"213c54a2-299e-4fe6-80ea-9868a53cb4db","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":50.108932461873636,"y":2.1438172043010755,"width":47.930283224400874,"height":70.96774193548387,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"Application of Normal Distribution","title":"Application of Normal Distribution","file":{"path":"images\/file-5f5f9fbb3e4ff.png","mime":"image\/png","copyright":{"license":"U"},"width":600,"height":450}},"subContentId":"e998f93a-875f-4231-bf8e-2b977ef7fd4c","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":53.37690631808279,"y":60.21505376344086,"width":39.97821350762527,"height":10.75268817204301,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Which of these is the correct thing to type into your calculator?<\/strong><\/em><\/span><\/p>\n"},"subContentId":"39de84ec-e1b9-4f2a-816a-afdf1bf0b0ec","metadata":{"contentType":"Text","license":"U","title":"Untitled Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":4.357298474945534,"y":75.1378494623656,"width":59.912854030501094,"height":21.50537634408602,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

z = (x - miu)\/sigma = (7- 12)\/4.5 = -1.11<\/strong><\/p>\n\n

Looking at table 3 <\/strong><\/em>the probability is 0.1335<\/strong><\/em><\/p>\n\n

So you can check your calculator answer using my dinosaur answer!<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"3a93881f-1e60-4957-8234-3bf274e249f2"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":59.912854030501094,"y":92.47311827956989,"width":39.21568627450981,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Open Stax 6.2 Using the Normal <\/strong>Distribution<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"fb90871c-be33-4fd8-b08f-965592349336"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.0893246187363834,"y":2.1438172043010755,"width":47.930283224400874,"height":70.96774193548387,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"Application of Normal Distribution","title":"Application of Normal Distribution","file":{"path":"images\/file-5f5f9fd8b0e69.png","mime":"image\/png","copyright":{"license":"U"},"width":600,"height":450}},"subContentId":"552e7edf-8433-4008-868a-ef86b9270561","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":50.108932461873636,"y":2.1438172043010755,"width":47.930283224400874,"height":70.96774193548387,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"Application of Normal Distribution","title":"Application of Normal Distribution","file":{"path":"images\/file-5f5f9fe8b7121.png","mime":"image\/png","copyright":{"license":"U"},"width":600,"height":450}},"subContentId":"a106e1cc-3346-4ee5-8c42-2eab1c68fe9a","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.8518518518518516,"y":74.92279569892474,"width":93.68191721132898,"height":23.65591397849462,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

z = (x - miu)\/sigma <\/strong>= (0.27- 0.25)\/0.03 = 0.67 Looking at table 3 the probability for z < 0.67 is 0.7486 but we wanted the probability of the cookie being bigger than <\/span><\/em>0.27 not smaller than it so 1 - 0.7486 will give us the correct probability, 0.2514<\/span><\/strong> <\/strong>So you can check your calculator answer using my dinosaur answer!<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"122c3c53-e055-4a4a-beff-ae03b2b8ab7c"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":58.82352941176471,"y":2.150537634408602,"width":39.21568627450981,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Open Stax 6.2 Using the Normal <\/strong>Distribution<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"fb90871c-be33-4fd8-b08f-965592349336"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":4.357298474945534,"y":6.965720430107527,"width":45.751633986928105,"height":67.74193548387096,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"Application of Normal Distribution","title":"Application of Normal Distribution","file":{"path":"images\/file-5f5f9ffea8ca3.png","mime":"image\/png","copyright":{"license":"U"},"width":600,"height":450}},"subContentId":"1bc332ff-fb8a-44f6-89d7-13ecde4d1baa","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":54.46623093681917,"y":7.520172043010753,"width":45.42483660130719,"height":67.31182795698925,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"Application of Normal Distribution","title":"Application of Normal Distribution","file":{"path":"images\/file-5f5fa01159fb6.png","mime":"image\/png","copyright":{"license":"U"},"width":600,"height":450}},"subContentId":"56951df6-5afc-42b7-aef0-db0f1e249236","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.0893246187363834,"y":75.26881720430107,"width":98.03921568627452,"height":23.65591397849462,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

z = (x - miu)\/sigma = (575<\/span> - 535)\/65 = 0.62 z = (x - miu)\/sigma = (550<\/span> - 535)\/65 = 0.23<\/span><\/p>\n\n

Looking at table 3 the probabilities for those two z values are P (z < 575) = 0.7324<\/span> and P (z < 550) = 0.5910<\/span><\/em><\/p>\n\n

P(550 < x < 575) = 0.7324 - 0.5910 = 0.1414 <\/strong>So you can check your calculator answer using my dinosaur answer<\/em><\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"81f84041-4d66-4afb-9074-dd20512c377c"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":60.7843137254902,"y":93.54838709677419,"width":39.21568627450981,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Open Stax 6.2 Using the Normal <\/strong>Distribution<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"fb90871c-be33-4fd8-b08f-965592349336"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.0893246187363834,"y":2.1370967741935485,"width":39.21568627450981,"height":58.064516129032256,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"Application of Normal Distribution","title":"Application of Normal Distribution","file":{"path":"images\/file-5f5fa03252319.png","mime":"image\/png","copyright":{"license":"U"},"width":600,"height":450}},"subContentId":"b5e06c9a-d37f-475c-9ce9-3eeefa1486d1","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":41.394335511982575,"y":2.150537634408602,"width":39.21568627450981,"height":58.064516129032256,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"Application of Normal Distribution","title":"Application of Normal Distribution","file":{"path":"images\/file-5f5fa043544dd.png","mime":"image\/png","copyright":{"license":"U"},"width":600,"height":450}},"subContentId":"f84215fd-a9dc-4fe3-995b-7b838fde9e51","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":10.893246187363834,"y":83.87096774193547,"width":68.62745098039215,"height":10.75268817204301,"action":{"library":"H5P.Link 1.3","params":{"linkWidget":{"protocol":"https:\/\/","url":"www.learner.org\/series\/against-all-odds-inside-statistics\/checking-assumption-of-normality\/"},"title":"Please watch this 11 minute video about Checking the Assumption of Normality"},"subContentId":"83239abc-37e8-4721-8a5c-2179fc075441","metadata":{"contentType":"Link","license":"U"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.0893246187363834,"y":66.66666666666666,"width":98.03921568627452,"height":17.204301075268816,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Looking at table 3 <\/em>the closest probability we can get to 0.9500 is 0.9495 <\/em>which means ~95th <\/em>percentile, this happens when z < 1.64. <\/em> x = miu + z * sigma x = 42 + 1.64(3.7) = 48.068 round it to 48. So we will assume that the person is flirting if we get 48 french fries. Compare my dinosaur answer with your calculator answer.<\/p>\n"},"metadata":{"contentType":"Text","license":"U","title":"Untitled Text"},"subContentId":"ff737ae8-548a-489f-bfe5-788018281298"},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":57.734204793028326,"y":92.47311827956989,"width":41.394335511982575,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

Johnson, R. and Kuby, P. (2012) STAT2<\/strong> Chapter 6<\/p>\n"},"subContentId":"7375bd44-321d-454f-8516-abc3158201e9","metadata":{"contentType":"Text","license":"U","title":"Untitled Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.0893246187363834,"y":2.140455913978495,"width":45.751633986928105,"height":50.967741935483865,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","file":{"path":"images\/file-5f60e197322d9.png","mime":"image\/png","copyright":{"license":"U"},"width":800,"height":450},"alt":"Notation","title":"Notation"},"subContentId":"b7ce3e9a-dd96-487c-b2bf-760452cd0a51","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":49.01960784313726,"y":2.150537634408602,"width":45.751633986928105,"height":50.967741935483865,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"Notation","title":"Notation","file":{"path":"images\/file-5f60e1abdc073.png","mime":"image\/png","copyright":{"license":"U"},"width":800,"height":450}},"subContentId":"93ce90e9-f9de-4567-8245-452a3fdf9f30","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":2.178649237472767,"y":51.55247311827957,"width":29.411764705882355,"height":46.666666666666664,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Image","alt":"Notation","title":"Notation","file":{"path":"images\/file-5f60e1c3c125e.png","mime":"image\/png","copyright":{"license":"U"},"width":529,"height":425}},"subContentId":"9bb14d0d-f830-4c56-95cf-a27c48f52d05","metadata":{"contentType":"Image","license":"U","title":"Untitled Image"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":58.82352941176471,"y":73.11827956989247,"width":21.895424836601308,"height":5.161290322580645,"action":{"library":"H5P.Audio 1.5","params":{"fitToWrapper":true,"playerMode":"full","controls":true,"autoplay":true,"playAudio":"Play audio","pauseAudio":"Pause audio","contentName":"Audio","audioNotSupported":"Your browser does not support this audio","files":[{"path":"audios\/files-5f6a4b7d896d7.m4a","mime":"audio\/mp4","copyright":{"license":"U"}}]},"subContentId":"23df81b1-f0dc-4fef-aea0-4c267176f2c8","metadata":{"contentType":"Audio","license":"U","title":"Untitled Audio"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":57.734204793028326,"y":92.47311827956989,"width":41.394335511982575,"height":6.451612903225806,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"

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4 Quantitative methods in geography - Continuous probability distribution functions

Lisa Tutty