For a hypothesis test comparing two population means the com

For a hypothesis test comparing two population means, the combined degrees of freedom are 24. Which of the following statements about the two sample sizes is NOT true? Assume the population standard deviations are equal.

Sample A = 10; sample B = 16

Sample A = 12; sample B = 14

Sample A = 13; sample B = 13

Sample A = 11; sample B = 1

Solution

As

df1 + df2 = n1 + n2 - 2

Then

n1 + n2 = df1 + df2 + 2 = 24 + 2 = 26

Thus, the sample sizes must add up to 26.

Therefore,

OPTION D: sample A = 11, Sample B = 1 [ANSWER]