Maintaining your balance may get harder as you grow older. A study was conducted to see how steady the elderly are on their feet. They had a random sample of subjects stand on a force platform and have them react to a noise. The force platform then measured how much they swayed forward and backward, and the data are in the table below. Do the data show that the mean elderly sway measurement is higher than the mean forward sway of younger people, which is 18.125 mm? Test at the 6% level.

forward sway in mm

10

27

29

37

51

17

27

11

31

24

19

41

19

19

25

29

27

23

22

25

19

38

44

33

36

33

27

12

26

34

29

37

17

30

34

19

27

18

38

39

T: Test Statistic

The symbol and value of the random variable on this problem are as follows:

The test statistic formula set up with numbers is as follows:

Round values to 2 decimal places.

t=¯¯¯X−μs√n= ____

The final answer for the test statistic from technology is as follows:

Round to 2 decimal places.

t = ____

O: Obtain the P-value

Report the final answer to 4 decimal places.

It is possible when rounded that a p-value is 0.0000

P-value = ____

M: Make a decision

Since the p-value ____