1a. Suppose an x distribution has mean = 2. Consider two corresponding x distrib

Q: 1a. Suppose an x distribution has mean = 2. Consider two corresponding x distrib

a)For n = 49, x =2 For n = 81, x =2 b) The distribution with n = 81 because the standard deviation will be smaller. c) The distribution with n = 81 because the standard deviation will be smaller. b. The distribution with n = 81 because the standard deviation will be smaller.

ID: 3066227 • Letter: 1

Question

1a.

Suppose an x distribution has mean = 2. Consider two corresponding x distributions, 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 =

For n = 81, x =

1b.

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

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

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.

1c.

For which x distribution is P(1.5 < x < 2.5) greater? Explain your answer.