A sample of 30 observations is selected from a normal population. The sample mean is 59, and the population standard deviation is 8. Conduct the following test of hypothesis using the 0.02 significance level.

H0: = 62

H1: 62

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

One-tailed test

Two-tailed test

b. What is the decision rule?

Reject H0 if z < -2.326 or z > 2.326

Reject H0 if -2.326 < z < 2.326

c.

What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

d. What is your decision regarding H0?

Fail to reject H0

Reject H0

e.

What is the p-value? (Round z value to 2 decimal places and final answer to 4 decimal places.)