It is desired to test H0: µ = 50 against HA: µ ? 50 using ? = 0.10. 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 48, what is the probability that the hypothesis test would lead the investigator to commit a Type II error?
A) 0.2433
B) 0.8994
C) 0.1006
D) 0.7567

Question

Quizplus · Accepted Answer

A Type II error occurs when we fail to reject the null hypothesis when it is false. Here, we calculate the probability of failing to reject H0 when µ = 48. Using the standard normal distribution and the given parameters, the probability is 0.7567.

It Is Desired to Test H0: µ = 50 Against