Problem 10. Let Y1, Y2, · ·· , Yn constitute a random sample of size n, n 2 2, from a N(µ, 0²) popu- lation. Consider using Y =ELY, as a test statistic to test the hypothesis Họ : µ = 0 HA: u >0 versus at size a = 0.025. If o² is known to equal 1, what is the minimum sample size n* required so that the probability of Type 2 error (8) is no more than 0.16 when u = 0.50?

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Problem 10. Let Yı, Y2, … · ,Y, constitute a random sample of size n, n 2 2, from a N(u, o2) popu-
lation.
Consider using Y = CLY, as a test statistic to test the hypothesis
i=1
Họ : µ = 0
HA : µ > 0
versus
at size a = 0.025. If o? is known to equal 1, what is the minimum sample size n* required so that the
probability of Type 2 error (8) is no more than 0.16 when u = 0.50?
Transcribed Image Text:Problem 10. Let Yı, Y2, … · ,Y, constitute a random sample of size n, n 2 2, from a N(u, o2) popu- lation. Consider using Y = CLY, as a test statistic to test the hypothesis i=1 Họ : µ = 0 HA : µ > 0 versus at size a = 0.025. If o? is known to equal 1, what is the minimum sample size n* required so that the probability of Type 2 error (8) is no more than 0.16 when u = 0.50?
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