Exam 2 Lecture Review Solutions

# Exam 2 Lecture Review Solutions - Stats 350 Gunderson Exam...

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Stats 350 Gunderson Exam 2 Lecture Review Solutions 1. In a study to investigate the effect of a special diet on reducing cholesterol levels , 12 subjects known to have high cholesterol had their cholesterol measured at the beginning of the study and again after 6 months on the special diet. Suppose you can assume that the differences in cholesterol (measured as before minus after ) are a random sample from some approximately normal population. Use a 5% significance level. a. State clearly the appropriate hypotheses to be tested. H 0 : μ d = 0 H a : μ d > 0 b. Suppose that the mean difference ( before minus after ) is 9 and the standard error of the mean difference is 6. Compute the corresponding test statistic (include its symbol and its value). t = (9 – 0)/6 = 1.5 T e s t s t a t i s t i c : _ _ t _ = _ 1.5 _____ c. Find the corresponding p -value for testing the hypotheses in part a. Show your work. Using Table A.3, with df = 11, the exact one-sided -value is 0.081. Note: the -value must be consistent with both the direction in H a and also the t statistic value. -value: ____ 0.081 _______ d. Check the appropriate statistical decision and conclusion. ___ Reject H 0 ; there is insufficient evidence to demonstrate the special diet reduces cholesterol on average.

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## This note was uploaded on 03/27/2008 for the course STAT 350 taught by Professor Gunderson during the Winter '08 term at University of Michigan.

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Exam 2 Lecture Review Solutions - Stats 350 Gunderson Exam...

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