A researcher wishes to test H₀: $\mu$
= 50 versus H_a: $\mu$
> 50.A sample of size n = 25 is taken from a normally distributed population with mean $\mu$
= 55 and standard deviation is $\sigma$
= 10.What is the power of the test at the 5% level of significance?

Question

A researcher wishes to test H₀:

\mu

= 50 versus H_a:

\mu

> 50.A sample of size n = 25 is taken from a normally distributed population with mean

\mu

= 55 and standard deviation is

\sigma

= 10.What is the power of the test at the 5% level of significance?

Quizplus · Accepted Answer

The power of the test is the probability of correctly rejecting the null hypothesis when the alternative hypothesis is true. Here, the power is calculated using the z-test for the given parameters, resulting in 0.8051.

A Researcher Wishes to Test H0 μ\muμ = 50 Versus Ha μ\muμ

A Researcher Wishes to Test H₀ $\mu$ = 50 Versus H_a $\mu$