A sample of 40 observations is selected from a normal population. The sample mean is 64, and the population standard deviation is 8. Conduct the following test of hypothesis using the 0.01 significance level.

H0: μ = 65
H1: μ ≠ 65

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

multiple choice 1
One-tailed test
Two-tailed test


b. What is the decision rule?

multiple choice 2
Reject H0 if −2.576 < z < 2.576
Reject H0 if z < −2.576 or z > 2.576


c. What is the value of the test statistic?


d. What is your decision regarding H0?

multiple choice 3
Reject H0
Fail to reject H0


e-1. What is the p-value? (Round your z value to 2 decimal places and final answer to 4 decimal places.)



e-2. Interpret the p-value? (Round your z value to 2 decimal places and final answer to 2 decimal places.)