1. A random sample of size 25 was taken from a normal distribution with unknown mean µ and variance equal to 16. In testing Họ: u=4_versus Hạ: u=5 The null hypothesis is rejected when the sample mean is greater than 5. a. Find the probability of a type 1 error, a b. Find the power of the test when the mean is 5.

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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1. A random sample of size 25 was taken from a normal distribution with
unknown mean u and variance equal to 16. In testing
Họ: u=4 versus Ha: u=5
The null hypothesis is rejected when the sample mean is greater than 5.
a. Find the probability of a type 1 error, a
b. Find the power of the test when the mean is 5.
Transcribed Image Text:1. A random sample of size 25 was taken from a normal distribution with unknown mean u and variance equal to 16. In testing Họ: u=4 versus Ha: u=5 The null hypothesis is rejected when the sample mean is greater than 5. a. Find the probability of a type 1 error, a b. Find the power of the test when the mean is 5.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,