All the possible random samples of size n 5 2 are selected from a population with m 5 40 and s 5 10 and the mean is computed for each sample. Then all the possible samples of size n 5 25 are selected from the same population and the mean is computed for each sample. How will the distribution of sample means for n 5 2 compare with the distribution for n 5 25?

a. The two distributions will have the same mean and variance.

b. The mean and the variance for n 5 25 will both be larger than the mean and variance for n 5 2.

c. The mean and the variance for n 5 25 will both be smaller than the mean and variance for n 5 2.

d. The variance for n 5 25 will be smaller than the variance for n 5 2 but the two distributions will have the same mean.