n s Enteroliths group: 5 45 10 Healthy group: 5 28 10 Which statement is NOT cor

Question

n

s

Enteroliths group:

5

45

10

Healthy group:

5

28

10

Which statement is NOT correct regarding a two-sample confidence interval

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

a. All of the above b. The two-sample t-interval for unequal variances cannot be used when it is suspected that the population variances may be the same. c. Because the sample standard deviations are the same the researcher must use the pooled two-sample t-interval. d. The degrees of freedom the researcher must use are 10 for the two-sample t-interval.

Explanation / Answer

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

Degees of freedom for pooled two-sample t-test is= n1+n2-2= 5+5-2 =8

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