A veterinarian does research on the causes of enteroliths, stones that develop i

Question

A veterinarian does research on the causes of enteroliths, stones that develop in the colon of horses. She suspects that feeding alfalfa might be a cause. To investigate that suspicion, she selects five horses that are known to have enteroliths and compares the number of flakes of alfalfa they have eaten over a month with the number of flakes eaten by five horses free of enteroliths. The researcher obtains the following data:

n

s

Enteroliths group:

5

45

10

Healthy group:

5

28

10

The 95% confidence interval for E – H, where E refers to enteroliths and H refers to healthy was calculated to be (0.799, 33.201). If the calculation had been done by hand and the rule for degrees of freedom use to choose the smaller of (nE – 1) or (nH – 1) the confidence interval would have been

n

s

Enteroliths group:

5

45

10

Healthy group:

5

28

10

Explanation / Answer

confidence interval would be wider; as degree of freedom would be less in that case resulting in higher value of t

optionC is correct

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