Suppose we want to assess the effectiveness of a short course on nutrition. Eight students were...

 

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Suppose we want to assess the effectiveness of a short course on nutrition. Eight students were given a test before and after taking a short course on nutrition. The data are shown below. Student 1 2 3 4 5 6 7 8 Before After Improvement 50 56 6 71 78 7 87 100 13 75 71 -4 82 95 96 91 63 80 13 5 16 79 84 4 a) Why the above sample observations are treated as matched pair (dependent) samples? What is the difference between a matched pair (paired) scenario and a two-sample scenario? b) Let the ith student's before (B) and after (A) score be denoted as zB) and r). Also, let d; denotes the ith student's score difference, (23) I Suppose we are interested in an interval estimation for population mean difference μ5. As- suming the differences are normally distributed, please construct a 95% confidence interval for us. You may use ZTest() or t.test() to verify your answer, but replicate the values mathematically yourself and show your work as well. Suppose we want to assess the effectiveness of a short course on nutrition. Eight students were given a test before and after taking a short course on nutrition. The data are shown below. Student 1 2 3 4 5 6 7 8 Before After Improvement 50 56 6 71 78 7 87 100 13 75 71 -4 82 95 96 91 63 80 13 5 16 79 84 4 a) Why the above sample observations are treated as matched pair (dependent) samples? What is the difference between a matched pair (paired) scenario and a two-sample scenario? b) Let the ith student's before (B) and after (A) score be denoted as zB) and r). Also, let d; denotes the ith student's score difference, (23) I Suppose we are interested in an interval estimation for population mean difference μ5. As- suming the differences are normally distributed, please construct a 95% confidence interval for us. You may use ZTest() or t.test() to verify your answer, but replicate the values mathematically yourself and show your work as well.

Answer rating: 100% (QA)

a Since here both sets of measurements ie Before and After are taken on the same p... View the full answer