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We want to test the relative efficacy of a new cholesterol lowerin drug A versus existing drug B. We randomize na subjects with high cholesterol to tal treatment A and nB subjects to take treatment B. After a 1-month followup, we measur cholesterol levels in both groups. Suppose the data in the two groups are independent an iid iid YA, YA,..., YA N(4, 02) and Y", YP,. YB N(uB,o²), where o? = 9 is know: ...,

We want to test the relative efficacy of a new cholesterol lowerin drug A versus existing drug B. We randomize na subjects with high cholesterol to tal treatment A and nB subjects to take treatment B. After a 1-month followup, we measur cholesterol levels in both groups. Suppose the data in the two groups are independent an iid iid YA, YA,..., YA N(4, 02) and Y", YP,. YB N(uB,o²), where o? = 9 is know: ...,

MATLAB: An Introduction with Applications
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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Solve both parts 3 and 4 of the question below using a two-sample z test.

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We want to test the relative efficacy of a new cholesterol lowering drug A versus existing drug B. We randomize na subjects with high cholesterol to take treatment A and ng subjects to take treatment B. After a 1-month followup, we measure cholesterol levels in both groups. Suppose the data in the two groups are independent and iid iid YA N(u4, o²) and Y³,Y;",..., YB N(uB,o²), where o? 9 is known. 2 пв Let Y4 and YB be the sample average cholesterol level in group A and B. 3. Suppose YA 20 and YB = 26 with na = nB = 36. Conduct an a = .05 significance level test of Họ : A = 0 versus Ha : A 7 0. Do you reject or fail to reject the null at the .05 significance level? Be su to find the distribution under the null, compute the critical value, find the rejection region, and the compute the p-value. 4. Interpret the p-value you computed in the previous part.
Transcribed Image Text:We want to test the relative efficacy of a new cholesterol lowering drug A versus existing drug B. We randomize na subjects with high cholesterol to take treatment A and ng subjects to take treatment B. After a 1-month followup, we measure cholesterol levels in both groups. Suppose the data in the two groups are independent and iid iid YA N(u4, o²) and Y³,Y;",..., YB N(uB,o²), where o? 9 is known. 2 пв Let Y4 and YB be the sample average cholesterol level in group A and B. 3. Suppose YA 20 and YB = 26 with na = nB = 36. Conduct an a = .05 significance level test of Họ : A = 0 versus Ha : A 7 0. Do you reject or fail to reject the null at the .05 significance level? Be su to find the distribution under the null, compute the critical value, find the rejection region, and the compute the p-value. 4. Interpret the p-value you computed in the previous part.
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