Suppose an x distribution has mean = 2. Consider two corresponding xdistributions, the first based on samples of size n = 49 and the second based on samples of size n = 81. (a) What is the value of the mean of each of the two x distributions?

For n = 49, _x = 1

For n = 81, _x = 2

(b) For which x distribution is P(x> 2.5) smaller? Explain your answer.

The distribution with n = 81 because the standard deviation will be smaller.The distribution with n = 49 because the standard deviation will be larger.The distribution with n = 81 because the standard deviation will be larger.The distribution with n = 49 because the standard deviation will be smaller.

(c) For which x distribution is P(1.5 The distribution with n = 81 because the standard deviation will be smaller.The distribution with n = 49 because the standard deviation will be larger.The distribution with n = 49 because the standard deviation will be smaller.The distribution with n = 81 because the standard deviation will be larger.