Question

Imagine you are exploring the effects of two different workout routines on weight loss. To that...

Imagine you are exploring the effects of two different workout routines on weight loss. To that end, you randomly assign individuals to one of the two possible workout routines. The first workout routine is called the Captain America plan and the second is called the Loki plan. There are 40 subjects in each group (i.e., plan). The average starting weight of subjects assigned the Captain America plan is 150 pounds and the average starting weight of subjects assigned the Loki plan is 161 pounds. The sample standard deviation of the starting weight of subjects assigned the Captain America plan is 5 pounds while the sample standard deviation of the starting weight of subjects assigned the Loki plan is 20 pounds.

11.What is the 95% confidence interval of the mean weight of subjects assigned the Captain America workout plan?

12.What is the 95% confidence interval of the mean weight of subjects assigned the Loki workout plan?

13.Assuming the variance in weight in the two groups (i.e., workout plans) is not different, is there a significant difference in the average weight of subjects assigned the Captain America workout plan and subjects assigned the Loki workout plan? (assume ?=.05)

14.Assuming the variance in weight in the two groups is different, is there a significant difference in the average weight of subjects assigned the Captain America workout plan and subjects assigned the Loki workout plan? (assume ?=.05)

15.Which of the t-tests performed above is more appropriate? The one performed in question 13 or the one performed in question 14? Explain your answer. (Hint: use the f-test of equal variance).

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Answer #1

Q-yレ h-1 12(a sレ 0 79 2迎 リ) 니-4ITI 3.37 abn1小小 78,0025 2 2eancaptain America SA 46 사사 [ 150-032 x5) t o 025,39 E a148 4, 1S16) 202 [ 161さ 202 x 26 e l 6 32 x 20 Assuming d0%-0.02 thin

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