A random sample of size n = 9 will be taken from Y~N(H, o = 24) where u is unknown. The following hypothesis test will be conducted: Ho: H = 145 Hg: μ > 145 6.3.a If a = ,0375, draw a picture of the rejection region on the appropriate curve and identify the critical value. 6.3.b If the actual value of u equals 161.88, what is the probability of Type 2 error?

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Question 6.3
A random sample of size n = 9 will be taken from Y~N(H, 0 = 24) where u is
unknown. The following hypothesis test will be conducted:
Ho: µ = 145
Hai u > 145
6.3.a
If a = .0375, draw a picture of the rejection region on the appropriate curve and
identify the critical value.
6.3.b
If the actual value of u equals 161.88, what is the probability of Type 2 error?
Transcribed Image Text:Question 6.3 A random sample of size n = 9 will be taken from Y~N(H, 0 = 24) where u is unknown. The following hypothesis test will be conducted: Ho: µ = 145 Hai u > 145 6.3.a If a = .0375, draw a picture of the rejection region on the appropriate curve and identify the critical value. 6.3.b If the actual value of u equals 161.88, what is the probability of Type 2 error?
6.3.c
Suppose we decided the answer to the previous question was unacceptable and
we wanted the probability of Type 2 error to equal .1515 when u = 161.88. What
sample size would be necessary?
Transcribed Image Text:6.3.c Suppose we decided the answer to the previous question was unacceptable and we wanted the probability of Type 2 error to equal .1515 when u = 161.88. What sample size would be necessary?
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