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Made Fresh pasta averages a wait time of 20 minutes for customers to pick up their take-out orders. Periodically, the manager will take a sample of the orders to see if the wait times have increased. A sample of 36 orders is selected from a Friday afternoon. The sample mean wait time is 21 minutes. The population is known to be normally distributed with a standard deviation of 5 minutes. Conduct the following test of hypothesis using the 0.05 significance level:

H_{0}: µ ≤ 20

H_{1}: µ > 20

(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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