29

23

22

24

25

23

24

28

27

20

24

27

28

25

21

25

20

25

22

25

24

19

27

21

21

28

24

22

The average age of an adult's first vacation without a parent or guardian was reported to be 23 years old. A travel agent believes that the average age is different from reported. They sample 28 adults and they asked their age in years when they first vacationed as an adult without a parent or guardian, data shown below.

See Excel for Data.

adult vacation data.xlsx

Test the claim using a 10% level of significance. The hypotheses for this problem are:

H₀: = 23

H₁: 23

Find the test statistic. Round answer to 4 decimal places. test statistic t =