We want to test the relative efficacy of a new cholesterol loweringdrug A versus existing drug B. We randomize nĄ subjects with high cholesterol to taketreatment A and ng subjects to take treatment B. After a l-month followup, we measurecholesterol levels in both groups. Suppose the data in the two groups are independent andYA,Y;ª,...,YA N(µA, o²) and YB,YB,.., Y,BiidN(µB,0²), where o? = 9 is known.Let Y4 and YB be the sample average cholesterol level in group A and B.1. What is the distribution of the difference in sample means: Â =Ÿª-ŸB? Hint: whatis the distribution of each group's sample average? What do we know about linearcombinations of normal RVs?2. Let A = µA - µB be the true difference in cholesterol levels in populations treated withÂ-AA versus B. What is the distribution of Z =?Vo2/na+o²/ng3. Suppose YA = 20 and YB = 26 with na = nB = 36. Conduct an a = .05 significancelevel test of Ho : A = 0 versus Ha : A # 0. Do you reject or fail to reject the null atthe .05 significance level? Be sure to find the distribution under the null, compute thecritical value, find the rejection region, and the compute the p-value.

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Answered: We want to test the relative efficacy…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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