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?

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