It is desired to test H0: μ = 50 against HA: μ ≠ 50 using α = 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 45, what is the power of the test?
A) 0.2456
B) 0.7544
C) 0.8959
D) 0.1041

Question

Quizplus · Accepted Answer

The power of the test is calculated as 1 minus the probability of a Type II error (β). Given the sample size, standard deviation, and significance level, the power is approximately 0.7544 when μ is actually 45.

It Is Desired to Test H0: μ = 50 Against