A manager of a pizza restaurant has changed the? restaurant'sdelivery process in an effort to reduce the mean time between theorder and completion of delivery from the current 30 minutes. Asample of 49 orders using the new delivery process yields a samplemean of 27.7 minutes and a sample standard deviation of 6minutes.

a.) Using the critical value? approach, at the 0.05 level of?significance, is there evidence that the population mean deliverytime has been reduced below the previous population mean value of30 minutes? State the null and alternative hypotheses for thistest.

        What is the teststatistic for this? test? (Type an integer or a decimal. Round totwo decimal places as? needed.)

        What? is(are) thecritical? value(s) for this? test? ?(Type an integer or a decimal.Round to two decimal places as needed. Use commas to separate youranswers as? needed.)

       What is the conclusion forthis? test? Since the test statistic is ___________than thecritical? value, __________the null hypothesis and conclude thatthere is ___________evidence that the population mean delivery timehas been reduced below the previous population mean value of 30minutes.

b.) . Using the? p-value approach, at the 0.05 level of?significance, is there evidence that the population mean deliverytime has been reduced below the previous population mean value of30 minutes?

        What is the?p-value for this? test? (Type an integer or a decimal. Round tothree decimal places as? needed.)

        What is theconclusion for this? test?

        Since the? p-value is__________ than ? _________the null hypothesis and conclude thatthere is ___________evidence that the population mean delivery timehas been reduced below the previous population mean value of 30minutes.

c.) Interpret the meaning of the? p-value in this problem.

d.) d. Compare your conclusions in? (a) and? (b).