A hospital was concerned about reducing its wait time. A targeted wait time goal of

25

minutes was set. After implementing an improvement framework and process, a sample of

342

patients showed the mean wait time was

23.13

minutes, with a standard deviation of

16.05

minutes. Complete parts (a) and (b) below.

a. If you test the null hypothesis at the

0.10

level of significance, is there evidence that the population mean wait time is less than

25

minutes?

State the null and alternative hypotheses.

A.

H0:

>25

H1:

<25

B.

H0:

25

H1:

25

C.

H0:

25

H1:

<25

D.

H0:

<25

H1:

>25

E.

H0:

<25

H1:

25

F.

H0:

25

H1:

25

Find the test statistic for this hypothesis test.

tSTAT=nothing

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

Find the p-value.

The p-value is

nothing.

(Type an integer or a decimal. Round to three decimal places as needed.)

Is there sufficient evidence to reject the null hypothesis? (Use a

0.10

level of significance.)

A.

Reject

the null hypothesis. There is

sufficient

evidence at the

0.10

level of significance that the population mean wait time is greater than

25

minutes.

B.

Reject

the null hypothesis. There is

sufficient

evidence at the

0.10

level of significance that the population mean wait time is less than

25

minutes.

C.

Do not reject

the null hypothesis. There is

insufficient

evidence at the

0.10

level of significance that the population mean wait time is less than

25

minutes.

D.

Do not reject

the null hypothesis. There is

insufficient

evidence at the

0.10

level of significance that the population mean wait time is greater than

25

minutes.

b. Interpret the meaning of the p-value in this problem.

Choose the correct answer below.

A.The p-value is the probability that the actual mean wait time is more than

23.13

minutes.

B.The p-value is the probability of getting a sample mean wait time of

23.13

minutes or less if the actual mean wait time is

25

minutes.

C.The p-value is the probability that the actual mean wait time is

25

minutes given the sample mean wait time is

23.13

minutes.

D.The p-value is the probability that the actual mean wait time is

23.13

minutes or less.