Question

You are the manager of a restaurant that delivers pizza to customers. You have just changed your delivery process in an effort to reduce the time between the order and the completion of delivery from the current 25 minutes. From past experience, you can assume that the population standard deviation is 6 minutes. A sample of 36 orders using the new delivery process yields a sample mean of 22.4 minutes.

(a) Is there evidence that the new process has reduced the time between the order and the completion of delivery from the current 25 minutes ? You should answer this question using a hypotheses test at the 5% level of significance. You should state the test statistic, the rejection region and the critical value for your test.

(b) Calculate the p-value for the hypothesis test in Part (a) and carry out the test using the p-value method at the 5% level of significance.

Please do not include any image.

Answer 1