Question

What is the distribution and degrees of freedom of the test statistic when compare two population effects?

A. F distribution with (k-1) and (k-1)(b-1) degrees of freedom.
B. t distribution with (k-1)(b-1) degrees of freedom.
C. t distribution with (n-k) degrees of freedom.
D. F distribution with (k-1) and (n-k) degrees of freedom.

Answer 1

option A and D are incorrect because when we deal with means of two population, then we dont use F distribution.

Option B is incorrect because in case of t distribution, we never calculate degree of freedom by doing multiplication

option C is the correct answer because when we deal with means for two populations, then we use t distribution.

degree of freedom for t distribution for two population mean = n-k, where k =2 (number of means)

so, degree of freedom becomes n-2

option C is correct answer