It is desired to test H0: μ = 45 against Ha: μ

Question

It is desired to test H0: μ = 45 against Ha: μ < 45 using α = .10. The population in question is uniformly distributed with a standard deviation of 15. A random sample of 49 will be drawn from this population. If μ is really equal to 40, what is the probability that the hypothesis test would lead the investigator to commit a Type II error?
A) .1469
B) .8531
C) .3531
D) .2938

Quizplus · Accepted Answer

The probability of a Type II error is the probability of failing to reject the null hypothesis when it is false. In this case, the null hypothesis is that the mean is 45, and the alternative hypothesis is that the mean is less than 45. The population standard deviation is 15, and the sample size is 49. If the true mean is 40, then the probability of a Type II error is 0.1469.

It Is Desired to Test H0: μ = 45 Against