Question

A sample of 42 observations is selected from a normal population. The sample mean is 28, and the population standard deviation is 8.

Conduct the following test of hypothesis using the 0.05 significance level.

H₀ : μ ≤ 27

H₁ : μ > 27

a. Is this a one- or two-tailed test?

b. What is the decision rule? (Round the final answer to 3 decimal places.)

(Reject or Accept)  H₀ and  (accept or reject)  H₁ when z >___ .

c. What is the value of the test statistic? (Round the final answer to 2 decimal places.)

d. What is your decision regarding H₀?

Accept or Reject?  H₀.

Is there enough evidence to conclude that the population mean is greater than 27.

e. What is the p-value? (Round the final answer to 4 decimal places.)

Answer 1