A store owner surveyed 25 randomly selected customers and found the ages shown(in years). The mean is 29.28 and the standard deviation is 11.02. The owner wants to know if the mean age of all customers is 33 years old. Use the given information to complete parts a through f.

16

19

31

31

22

14

24

24

45

29

37

17

43

11

14

44

33

38

32

22

23

34

48

45

36

a) What is the nullhypothesis?

H0:

(write an integer or adecimal.)

b) Is the alternative one ortwo-sided?

The alternative hypothesis is

c) What is the value of the teststatistic?

The test statistic is

(Round to two decimal places asneeded.)

d) What is theP-value of the teststatistic?

P-value=

(Round to four decimal places asneeded.)

e) What do you conclude at =0.10?

Thep-value is (less than or greater than)

, so (reject or fail to reject)

the null hypothesis. There is (sufficient or insufficient)

evidence to conclude that the mean age of all customers is not 33 years old.