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Q1 11 Points 1) A study to track weight changes in teens suffering from anorexia measured weight before and then after a particular therapy. (As described in the textbook Statistics, the Art and Science of Learning from Data, 4e; Agresti, Franklin, Klingenberg; page362.) Let X = change in weight (positive means weight gain). For a sample of n = 17 teens, the changes in weight during the study were: -9, -7, -5, -4, -3, 0, 4, 6, 6, 9,11,12, 13,13,14, 14,18 with (E = 5.41 and s = 8.55 The relevant hypotheses are: H0 : p, = 0 (There is no change in weight after this therapy) Ha : ,u, 7E 0 (There is a change in weight) Where ,u = mean change in weight for all teens in this therapy 01.1 3 Points A) Conditions: We will assume that this is a random sample and it seems likely that 17 is less than the population of teens suffering from anorexia. On your own paper, make a dotplot and in the box below explain how the sample data indicates that it is reasonable to assume that the population weight gain is approximately normal. 01.2 2 Points B) Mechanics: Because the population standard deviation is unknown, we must use a t- procedure. In the box below write the formula for the t-statistic, with appropriate values substituted. Then use your calculator test menu to find the ultimate value oft and the associated P-value. (Don't forget your degrees of freedom!) Enter your answer here Save Answer 01.3 3 Points The relevant hypotheses are: H0 : ,u, = 0 (There is no change in weight after this therapy) H- : p 7': 0 (There is a change in weight) Where ,u = mean change in weight for all teens in this therapy C) Decision linked in Context (use alpha = 1%): Enter your answer here 01.4 1 Point D) Write the formula for a 99% condence interval to estimate the mean change in weight, substituting appropriate values where possible. Then use your calculator to find the ultimate interval endpoints. Enter your answer here Save Answer 01.5 2 Points E) Briefly explain how the interval in part (D) above supports the decision you made in part (C). Enter your answer here Save Answer 02 9 Points 2) In a study to compare a new statin to an older statin, volunteers with the gene mutation Familial Hypercholesterolemia (FH) that affects the body's ability to manage LDL (bad cholesterol) were randomly assigned to either 4 mg of a new statin or 40 mg or an older statin to measure the effects on cholesterol levels. Subjects' cholesterol levels were measured at the beginning of the study and then again 12 weeks later and the percent decrease in LDL was recorded for each subject. Summary statistics are given in the table. -n --m 02.1 2 Points A) Write the appropriate hypotheses to test whether the mean percent decrease for the new drug would be greater than for the older drug. Be sure to appropriately identify and label your variables. Enter your answer here 02.2 2 Points B) Describe how conditions necessary to perform a two-sample t-test for the difference in means have been met. Enter your answer here Save Answer 02.3 2 Points C) Perform the mechanics using your calculator and report ALL relevant results. Enter your answer here Save Answer 02.4 3 Points D) Write your decision linked in context. Enter your answer here
