8.10 A random sample of size n = 49 will be taken from Y~N(u, σ = 14) where μ is unknown. Daisy will do a one-sample Z-test. Ho: μ = 61 Ha: a 61 If a = .1212, draw a picture of the rejection region on the appropriate curve and identify the critical value(s). b If the actual value of μ equals 62, find the probability of Type 2 error and the Power of the test.

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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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8.10
A random sample of size n = 49 will be taken from Y~N(u, σ = 14) where μ is
unknown. Daisy will do a one-sample Z-test.
Ho: μ = 61
Ha:
a
61
If a = .1212, draw a picture of the rejection region on the appropriate curve and
identify the critical value(s).
b
If the actual value of μ equals 62, find the probability of Type 2 error and the
Power of the test.
Transcribed Image Text:8.10 A random sample of size n = 49 will be taken from Y~N(u, σ = 14) where μ is unknown. Daisy will do a one-sample Z-test. Ho: μ = 61 Ha: a 61 If a = .1212, draw a picture of the rejection region on the appropriate curve and identify the critical value(s). b If the actual value of μ equals 62, find the probability of Type 2 error and the Power of the test.
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