2. Researchers studying the effects of osteoarthritis conducted an experiment in

Question

2. Researchers studying the effects of osteoarthritis conducted an experiment in which the stance duration (measured in ms) was measured for two samples of "old" and "young" adults. The results of this study are tabulated below. Age Group|n i Old Ynel 28 801 117 16 780 72 (a) Should a "pooled" or "non-pooled" analysis be conducted when comparing the mean 2] stance durations between the two groups? Be specific with your reasoning. (b) Conduct a hypothesis test at a significance level of 0.05 to determine whether or not the average stance duration amongst older adults is greater than that amongst younger adults. You may base your decision solely upon the p-value (so there is no need to 15] determine the rejection region) for this test only.

Explanation / Answer

a) non-pooled analysis should be conducted as sample sd seem to be different

b)

Two-Sample T-Test and CI

                            SE
Sample   N   Mean StDev Mean
1       28    801    117    22
2       16 780.0   72.0    18

Difference = (1) - (2)
Estimate for difference: 21.0
95% lower bound for difference: -27.0
T-Test of difference = 0 (vs >): T-Value = 0.74 P-Value = 0.233 DF = 41

p-value = 0.233 > 0.05

we fail to reject the null hypothesis

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