27. Consider the following hypothesis test.

Question

H0: µ = 15
Ha: µ ≠ 15

A sample of 10 gives a sample mean of 8.9 and population variance of 9.
Consider the following data drawn from a normally distributed population:
4, 8, 12, 11, 14, 6, 12, 8, 9, 5, α = 0.01

a) At α = 0.02, what is the rejection rule? (2 points)

b) Compute the value of the test statistic and find critical value. (2 points)

c) What is the p-value? (2 points)

c) What is your conclusion? (1 point)