Consider two independent normal distributions N(#1, 400) and N(#2, 225). Let 0 μ₁₂. Let T and y denote the observed means of two independent random samples, each of size n, from these two distributions. To test we use the critical region Ho:0=0, H1:0>0, C={c}. (a) Express the power function K(0) in terms of the standard normal distribution cdf . It depends on n and c. (b) Find n and c so that the probability of type I error is 0.05, and the power at = 10 is 0.9, approximately. Assume that zo.10 = 1.28.

Consider two independent normal distributions N(#1, 400) and N(#2, 225). Let 0 μ₁₂. Let T and y denote the observed means of two independent random samples, each of size n, from these two distributions. To test we use the critical region Ho:0=0, H1:0>0, C={c}. (a) Express the power function K(0) in terms of the standard normal distribution cdf . It depends on n and c. (b) Find n and c so that the probability of type I error is 0.05, and the power at = 10 is 0.9, approximately. Assume that zo.10 = 1.28.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 40CR

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