An online retailer ships products from overseas with an advertised

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:
H0: µ ≤ 10
H1: 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 H0

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

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