By NEAS - 7/1/2024 1:38:21 PM
MS Module 4 Hypotheses and Test Procedures homework assignment
(The attached PDF file has better formatting.)
A population has a normal distribution with a mean μ0 of 61 and a standard deviation of 7.4
One group from this population has been treated to reduce its mean; we assume it is still normally distributed with the same standard deviation. A sample of size 23 from this treated group has a sample mean of and a true mean of μʹ.
● The null hypothesis is H0: μʹ = μ0.
● The one-sided alternative hypothesis is Ha: μʹ < μ0.
We reject the null hypothesis if ≤ 59.6
A. What is the standard deviation of the sample mean?
B. What is the z statistic value to test the null hypothesis?
C. What is the probability of a Type I error for this one-sided (lower-tailed) test?
D. If the true mean of the sample μʹ is 60.1, what is the probability of a Type II error for this test?
(To check your solutions, review the posting on practice exam questions for this module.)
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