Consider testing the hypotheses Ho: 0 =0 versus H1: 0 = 1 based on a random sample of size n = from a normal distribution with mean 0 and known variance of 64. 16 (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 = 0.01). What is the sample size n that needs to be collected to achieve this power?

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2. 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
Transcribed Image Text:2. 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
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