# Hypothesis Testing: Normal Probability Distribution

Consider the following hypothesis test:

Ho (null hypothesis): µ = 15

Ha (alternative hypothesis): µ ≠ 15

A sample of 25 gives a sample mean of 14.2 and sample standard deviation of 5. Answer the following questions regarding the hypothesis test.

a) At α = 0.05, what is the rejection rule?

b) Compute the value of the test statistic

c) What is the p-value?

d) What is your conclusion?