Question

True or false: given that there are only 10 different possible samples of size two that can be selected from a population of five values, the sampling distribution of the mean would be composed of the means of these 10 samples.

Answer 1

True. The 10 samples represent all possible samples of size two. The 10 means for these samples would represent all possible values of the mean.

Answer 2

The total population given is 5

The number of possible samples of size 2 that can be made from these 5 values are 10

The means of these 10 values will represent the mean of the sampling distribution.

Hence the given statement is correct