statistics assignment

MATH 1342 303/305 Name Elementary Statistical Methods Lab Ch.10 Hypothesis Testing One Sample Due: 1117120 Critical Thinking; Communication Skills; Empirical/Quantitative 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-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. (data fromh htt :f/or .e.lon edulecon/sac/Descri tive. htm) In the questions below, you will test if the mean is si nicantl less than 30 minutes at a significance level of 0.05. (Please be sure to use correct notation and symbols in all answers.) 1. List the requirements that should be met for this hypothesis test. 2. Write the null and alternative hypothesis. (Be sure to use correct symbols and notation.) 2. Write the null and alternative hypothesis. (Be sure to use correct symbols and notation.) 3. Calculate the test statistic and the P-value (to four decimal places). Label each accordingly. [Indicate which calculator program you use.] Lab Ch.910 continued 4. Would you reject the null hypothesis? Justify your answer using a complete sentence and proper grammar. 5. Is the company fullling its promise to \"change the oil in customers' cars in less than 30 minutes on average?" Unfortunately, Speedy Oil Change continues to get customer complaints. As the manager, you feel that perhaps more analysis is needed. You know that you are likely to be asked \"how much less than 30 minutes is our mean oil change?" 6. Construct a 90% confidence interval (to the nearest tenth). [Indicate which calculator program you use] 7. State the point estimate and calculate the margin of error (to the nearest tenth). 8. Explain to your superiors how to interpret this interval. 9. Using the confidence interval you created, calculate the interval of values that answers the question \"how much less than 30 minutes is our mean oil change?\