Question

In: Statistics and Probability

A manager of a pizza restaurant has changed the​ restaurant's delivery process in an effort to...

A manager of a pizza restaurant has changed the​ restaurant's delivery process in an effort to reduce the mean time between the order and completion of delivery from the current 25 minutes. A sample of 36 orders using the new delivery process yields a sample mean of 22.1 minutes and a sample standard deviation of 5 minutes. Complete parts​ (a) through​ (d) below.

a. Using the critical value​ approach, at the 0.05 level of​ significance, is there evidence that the population mean delivery time has been reduced below the previous population mean value of 25 ​minutes?

State the null and alternative hypotheses for this test.

What is the test statistic for this​ test?

What​ is(are) the critical​ value(s) for this​ test?

What is the conclusion for this​ test?

b. Using the​ p-value approach, at the 0.05 level of​ significance, is there evidence that the population mean delivery time has been reduced below the previous population mean value of 25 minutes?

What is the​ p-value for this​ test?

What is the conclusion for this​ test?

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

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