Suppose you are the manager of Speedy Oil Change which claims that it will change the oil in customers' cars in less than 30 minutes on average. Further suppose that several complaints have been filed from customers stating that their oil change took longer than 30 minutes. Upper-level management at Speedy Oil Change headquarters has requested that you investigate the complaints. To begin your investigation, you randomly audit 36 oil changes performed by Speedy Oil Change and record the time each customer waited for the oil change. The number of minutes to complete each of the 36 oil changes is reported below

42 29 19 11 10 27 41 27 22 26 28 32 17 15 25 35 32 22 13 31 17 30 33 25 18 24 28 21 40 19 34 30 14 23 22 10

Null Hypothesis = 30

Alternate < 30

In the questions below, you will test if the mean is significantly less than 30 minutes at a significance level of 0.01.

1. List the requirements that should be met for this hypothesis test. Have the requirements been met? Justify your answer.

3. Calculate the test statistic and the P-value. Label each accordingly.