A manager of a pizza restaurant has changed therestaurant'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 22.3 minutes and a sample standard deviation of 5 minutes.

a. Using the critical valueapproach, at the 0.01 level ofsignificance, is there evidence that the population mean delivery time has been reduced below the previous population mean value of 25 minutes?

the null and alternative hypotheses for this test.

A.

H0:<25

H1:25

B.

H0:25

H1:<25

C.

H0:>25

H1:25

D.

H0:25

H1:>25

E.

H0:22.3

H1:>22.3

F.

H0:22.3

H1:<22.3

What is the test statistic for thistest?

tSTAT=

nothing

(Type an integer or a decimal. Round to two decimal places asneeded.)

Whatis(are) the criticalvalue(s) for thistest?

nothing

(Type an integer or a decimal. Round to two decimal places as needed. Use commas to separate your answers asneeded.)

What is the conclusion for thistest?

Since the test statistic is

greater

less

than the criticalvalue,

reject

do not reject

the null hypothesis and conclude that there is

sufficient

insufficient

evidence that the population mean delivery time has been reduced below the previous population mean value of 25 minutes.

b. Using thep-value approach, at the 0.01 level ofsignificance, is there evidence that the population mean delivery time has been reduced below the previous population mean value of 25 minutes?

What is thep-value for thistest?

p-value=

nothing

(an integer or a decimal. Round to three decimal places asneeded.)

What is the conclusion for thistest?

Since thep-value is

less

greater

than ,

do not reject

reject

the null hypothesis and conclude that there is

insufficient

sufficient

evidence that the population mean delivery time has been reduced below the previous population mean value of 25 minutes.

c. Interpret the meaning of thep-value in this problem.

A.

Thep-value is the probability of selecting a sample of deliveries that has a mean delivery time of 22.3 minutes ormore, given that the population mean delivery time is 25 minutes.

B.

Thep-value is the probability of selecting a sample of deliveries that has a mean delivery time of 25 minutes orless, given that the population mean delivery time is 22.3 minutes.

C.

Thep-value is the probability of selecting a sample of deliveries that has a mean delivery time of 25 minutes ormore, given that the population mean delivery time is 22.3 minutes.

D.

Thep-value is the probability of selecting a sample of deliveries that has a mean delivery time of 22.3 minutes orless, given that the population mean delivery time is 25 minutes.

d. Compare your conclusions in(a) and(b). Choose the correct answer below.

A.

Using the critical valueapproach, the null hypothesis was notrejected and using thep-value approach the null hypothesis was notrejected. The critical value approach and thep-value approach are two different methods of finding the same answer.

B.

Using the critical valueapproach, the null hypothesis was rejected and using thep-value approach the null hypothesis was rejected. The critical value approach and thep-value approach are two different methods of finding the same answer.

C.

Using the critical valueapproach, the null hypothesis was rejected and using thep-value approach, the null hypothesis was not rejected. The critical value approach and thep-value approach yield opposite results.

D.

Using the critical valueapproach, the null hypothesis was not rejected and using thep-value approach, the null hypothesis was rejected. The critical value approach and thep-value approach yield opposite results.