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.