An online retailer ships products from overseas with an advertised delivery date within 38 days. To test whether or not deliveries are made within the advertised time, a random sample of 59 orders is selected from a normal population. The sample mean delivery time is 40 days, and the known population standard deviation is 4 days. Conduct the following test of hypothesis using the 0.05 significance level:

H₀: 38

H₁: > 38

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

(Click to select) One-tailed test Two-tailed test

b. What is the decision rule?

Reject H₀ when z (Click to select) 1.64 > 1.64 .

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

Value of the test statistic

d. What is your decision regarding H₀?

(Click to select) Accept Reject H₀.

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

Thep-value is .