Does the data suggest that true average maximum lean angle for older females (OF) is more than 10 degrees smaller than it is for younger females (YF)?
As the population ages, there is increasing concern about accident-related injuries to the elderly. An article reported on an experiment in which the maximum lean angle—the farthest a subject is able to lean and still recover in one step—was determined for both a sample of younger females (21–29 years) and a sample of older females (67–81 years). The following observations are consistent with summary data given in the article:
| YF: | 28, | 34, | 32, | 27, | 28, | 32, | 31, | 35, | 32, | 28 |
| OF: | 19, | 14, | 21, | 13, | 12 |
Does the data suggest that true average maximum lean angle for older females (OF) is more than 10 degrees smaller than it is for younger females (YF)? State and test the relevant hypotheses at significance level 0.10. (Use ?1 for younger females and ?2 for older females.)
Ha: ?1 − ?2 > 10H0: ?1 − ?2 = 10
Ha: ?1 − ?2 < 10 H0: ?1 − ?2 = 0
Ha: ?1 − ?2 > 0H0: ?1 − ?2 = 0
Ha: ?1 − ?2 < 0
Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)
| t | = | |
| P-value | = |
State the conclusion in the problem context.
Given data,
For Younger Female: 28, 34, 32, 27, 28, 32, 31, 35, 32, 28
Sample Size, N1 = 10
Sum,
Mean,
Mean,
Mean,
Standard Deviation,
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