MATH 1342 Name Elementary Statistical Methods Lab Ch.10 lnferential Statistics One Sample Critical Thinking; Communication Skills: EmpiricaiiQuantitative Skills 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~leve| 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. In the questions below, you will test the claim that the mean wait time is 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. 2. Write the null and alternative hypothesis. 3. Calculate the test statistic and the P-value. Label each accordingly. Lab Ch,910 continued 4. Do you reject or fail to reject the null hypothesis? Why? Justify your answer using a complete sentence and proper grammar. 5. Summarize the result of your hypothesis test. Is the company fulfilling its promise to "change the oil in customers' cars in less than 30 minutes on average?\