Maintaining your balance may get harder as you grow older.A study was conducted to see how steady the elderly is on their feet. They had the 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 is in the table below ("Maintaining balance while," 2013). Do the data show that the elderly sway more than the mean forward sway of younger people, which is 18.125 mm? Test at the 5% level.

Table: Forward/backward Sway (in mm) of Elderly Subjects

19

30

20

19

29

25

21

24

50

a) State the question

Identify the information:

b) State the random variables and parameters in words

c) State the null and alternative hypotheses and level of significance

d) Determine the type of test this is, then state and check the assumptions for this type of test

Perform calculations

e) Find the sample statistics

f) Find the test statistic

g) Find the p-value

h) State the conclusion (compare p and alpha and decide to reject H_o or fail to reject H_o)

i) Interpret (answer the original question in a complete sentence)