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Twelve dieters lost an average of 10.1 pounds in 6 weeks when given a special di

ID: 3264228 • Letter: T

Question

Twelve dieters lost an average of 10.1 pounds in 6 weeks when given a special diet plus a "fat-blocking" herbal formula. A control group of twelve other dieters were given the same diet, but without the herbal formula, and lost an average of 6.7 pounds during the same time. The standard deviation of the "fat-blocker" sample was 2.7 and the standard deviation of the control group was 2.9. Find the 95% confidence interval for the differences of the means.

A)

C)

B)

D)

Twelve dieters lost an average of 10.1 pounds in 6 weeks when given a special diet plus a "fat-blocking" herbal formula. A control group of twelve other dieters were given the same diet, but without the herbal formula, and lost an average of 6.7 pounds during the same time. The standard deviation of the "fat-blocker" sample was 2.7 and the standard deviation of the control group was 2.9. Find the 95% confidence interval for the differences of the means.

A)

C)

B)

D)

, 5.9

Explanation / Answer

Standard Error = Sqrt((2.7*2.7/12)+(2.9*2.9/12)) = 1.143824

Margin of errror = 2.200985*1.143824 = 2.51754

95% Interval

(10.1-6.7-2.51754, 10.1-6.7+2.51754)

= (0.9, 5.9)

Option A is Correct

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