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: μ = 62
H1: μ ≠ 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.)
