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Consider testing the hypotheses Ho: 0 = 0 versus H1: 0 = 1 based on a random sample of size n = 16 from a normal distribution with mean 0 and known variance of 64. (a) Calculate the power for the likelihood ratio test at level a = .01. (b) A researcher wants to obtain a power of at least 0.9 for rejecting the null (fixing a = the sample size n that needs to be collected to achieve this power? 0.01). What is

Consider testing the hypotheses Ho: 0 = 0 versus H1: 0 = 1 based on a random sample of size n = 16 from a normal distribution with mean 0 and known variance of 64. (a) Calculate the power for the likelihood ratio test at level a = .01. (b) A researcher wants to obtain a power of at least 0.9 for rejecting the null (fixing a = the sample size n that needs to be collected to achieve this power? 0.01). What is

Calculus For The Life Sciences
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 6CR
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Consider testing the hypotheses Ho: 0 = 0 versus H1: 0 = 1 based on a random sample of size n = 16 from a normal distribution with mean 0 and known variance of 64. (a) Calculate the power for the likelihood ratio test at level a = .01. (b) A researcher wants to obtain a power of at least 0.9 for rejecting the null (fixing a = the sample size n that needs to be collected to achieve this power? 0.01). What is Please answer clearly and fully so i can better understand this concept thank you
Transcribed Image Text:Consider testing the hypotheses Ho: 0 = 0 versus H1: 0 = 1 based on a random sample of size n = 16 from a normal distribution with mean 0 and known variance of 64. (a) Calculate the power for the likelihood ratio test at level a = .01. (b) A researcher wants to obtain a power of at least 0.9 for rejecting the null (fixing a = the sample size n that needs to be collected to achieve this power? 0.01). What is Please answer clearly and fully so i can better understand this concept thank you
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