It is desired to test H0: = 75 against Ha: < 75 using =

Question:

It is desired to test H0: μ = 75 against Ha: μ < 75 using α = .10. The population in question is uniformly distributed with standard deviation 15. A random sample of size 49 will be drawn from the population.

a. Describe the (approximate) sampling distribution of x̅ under the assumption that H0 is true.

b. Describe the (approximate) sampling distribution of x̅ under the assumption that the population mean is 70.

c. If μ were really equal to 70, what is the probability that the hypothesis test would lead the investigator to commit a Type II error?

d. What is the power of this test for detecting the alternative Ha: μ = 70?

Distribution
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