Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean time of 19 minutes or less. If a longer mean survey time is necessary, a premium rate is charged. A sample of 35 surveys provided the survey times shown in the file Fowle. Based upon past studies, the population standard deviation is assumed known with  = 3.4 minutes. Is the premium rate justified?

a. Formulate the null and alternative hypotheses for this application.

b. Compute the value of the test statistic.

c. What is the p-value?

d. At =.01, what is your conclusion

Time

17

11

12

23

20

23

15

16

23

22

18

23

25

14

12

12

20

18

12

19

11

11

20

21

11

18

14

13

13

19

16

10

22

18

23