5 In a study of the effect of combining diet and exercise on reducing the amount of calcium loss in mature, a control group was also formed. The calcium loss(grams) in the right wrist over a 1 year period produced the summary statistics
Control: n1 = 8 x = 10 s1 = 6
Diet-Exercise: n2 = 10 y = 5 s2 = 3
State the alternative hypothesis when the intent is to show the combination treatment is better than the control. Assume the dis- tributions are normal. Conduct a test of hypotheses with α = .05. Which of following two statistical analyses is most appropriate? Give your reasoning.
Analysis A: Use pooled variance.
Estimate for difference: 10.00
T-Test of difference = 0 (vs >): T-Value = 2.31
P-Value = 0.035 DF = 16
Pooled StDev = 4.5621
Analysis B: Estimate variances separately.
Estimate for difference: 10.00
T-Test of difference = 0 (vs >): T-Value = 2.15 P-Value = 0.060 DF = 9
Correct Answer:
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