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 following table ("Maintaining balance while," 2013). Table: Forward/backward Sway (in mm) of Elderly Subjects 19 30 20 19 29 25 21 24 50 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. (i) Which of the following statements correctly defines the null hypothesis HO? A. p > 18.125 mm B. μ = 18.125 mm C. p = 18.125 mm D. μ > 18.125 mm Enter letter corresponding to correct answer (ii) Which of the following statements correctly defines the alternative hypothesis HA? A. p > 18.125 mm B. μ = 18.125 mm C. p = 18.125 mm D. μ > 18.125 mm Enter letter corresponding to correct answer (iii) Enter the level of significance α used for this test: Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10
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 following table ("Maintaining balance while," 2013).
Table: Forward/backward Sway (in mm) of Elderly Subjects
|
19 |
30 |
20 |
19 |
29 |
25 |
21 |
24 |
50 |
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.
(i) Which of the following statements correctly defines the null hypothesis HO?
A. p > 18.125 mm
B. μ = 18.125 mm
C. p = 18.125 mm
D. μ > 18.125 mm
Enter letter corresponding to correct answer
(ii) Which of the following statements correctly defines the alternative hypothesis HA?
A. p > 18.125 mm
B. μ = 18.125 mm
C. p = 18.125 mm
D. μ > 18.125 mm
Enter letter corresponding to correct answer
(iii) Enter the level of significance α used for this test:
Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10
(iv) Determine sample mean x :iv Determine sample mean x :
Enter answer to nearest ten-thousandth, without units of measure. Examples of correctly entered answers:
11.2385 0.0079 3.0500 7.4000
(v) Determine sample standard deviation s :v Determine sample standard deviation s :
Enter in decimal form to nearest thousandth. Do not enter units of measure. Examples of correctly entered answers:
0.002 9.050 11.300 210.715
(vi) Determine degrees of freedom df
Enter answer as integer number without sign
(vii) Calculate and enter test statistic
Enter value in decimal form rounded to nearest ten-thousandth, with appropriate sign (no spaces). Examples of correctly entered answers:
–2.0140 –0.0307 +0.6000 +1.0009
(viii) Using tables, calculator, or spreadsheet: Determine and enter p-value corresponding to test statistic.
Enter value in decimal form rounded to nearest thousandth. Examples of correctly entered answers:
0.000 0.001 0.030 0.600 0.814 1.000
(ix) Comparing p-value and α value, which is the correct decision to make for this hypothesis test?
A. Reject Ho
B. Fail to reject Ho
C. Accept Ho
D. Accept HA
Enter letter corresponding to correct answer.
(x) Select the statement that most correctly interprets the result of this test:
A. The result is statistically significant at .05 level of significance. Evidence supports the claim that the mean sway forward and backward of elderly people is more than 18.125 mm, the sway of younger people.
B. The result is statistically significant at .05 level of significance. There is not enough evidence to support the claim that the mean sway forward and backward of elderly people is more than 18.125 mm, the sway of younger people.
C. The result is not statistically significant at .05 level of significance. Evidence supports the claim that the mean sway forward and backward of elderly people is more than 18.125 mm, the sway of younger people.
D. The result is not statistically significant at .05 level of significance. There is not enough evidence to support the claim that the mean sway forward and backward of elderly people is more than 18.125 mm, the sway of younger people.
Enter letter corresponding to most correct answer
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