Question

3. What is the distribution of, in t-test?

4. What is the distribution of, in F-test?

Answer 1

3.) The most important assumption for using a t-test is that the sample should be taken from a population which is normally distributed.

Hence the distribution of the population should be normally distributed.

4.) In order to perform F-test of two variances, it is important that the following are true: The populations from which the two samples are drawn are normally distributed. The two populations are independent of each other.

Hence for the F-test , the two populations should be normally distributed.