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 researchers obtain the following data: n s Enteroliths group: 5 45 10 Healthy group: 5 28 10 Which statement is NOT correct regarding a two-sample confidence interval?

The degrees of freedom the researcher must use are 10 for the two-sample t-interval.

Because the sample standard deviations are the same the researcher must use the pooled two-sample t-interval.

The two-sample t-interval for unequal variances cannot be used when it is suspected that the population variances may be the same.

All of the above

Explanation / Answer

The answer is "The degrees of freedom the researcher must use are 10 for the two-sample t-interval" because the degrees of freedom when n1 = 5 and n2 = 5 is n1 + n2 - 2 = 8.

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