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An online retailer ships products from overseas with an advertised delivery date within 10 days. To test whether or not deliveries are made within the advertised time, a random sample of 36 orders is selected from a normal population. The sample mean delivery time is 12 days, and the known population standard deviation is 3 days. Conduct the following test of hypothesis using the 0.01 significance level:

H_{0}: µ ≤ 10

H_{1}: µ > 10

(a) Is this a one- or two-tailed test?

(b) What is the decision rule?

(c) What is the value of the test statistic?

(d) What is your decision regarding H_{0}?

(e) Determine the p-value and interpret it.

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