Suppose Jack and Diane are each attempting to use a simulation to describe the sampling distribution from a population that is skewed left with mean 70 and standard deviation 15. Jack obtains 1000 random samples of size n=5 from the population, finds the mean of the means, and determines the standard deviation of the means. Diane does the same simulation, but obtains 1000 random samples of size n=30 from the population. Complete parts (a) through (c) below.

(a) Describe the shape you expect for Jack's distribution of sample means. Describe the shape you expect for Diane's distribution of sample means. Choose the correct answer below.

A.

Diane's distribution is expected to be skewed left, but more than the original distribution. Jack's distribution is expected to be approximately normal.

B.

Jack's distribution is expected to be skewed left, but not as much as the original distribution. Diane's distribution is expected to be approximately normal.

C.

Jack's distribution and Diane's distribution are expected to be approximately normal.However, Jack's will have a greater standard deviation.

D.

Jack's distribution is expected to be skewed right, but not as much as the original distribution. Diane's distribution is expected to be approximately normal.

(b) What do you expect the mean of Jack's distribution tobe? What do you expect the mean of Diane's distribution tobe?

Jack's distribution is expected to have a mean of

_________

. Diane's distribution is expected to have a mean of

____________

.

(c) What do you expect the standard deviation of Jack's distribution tobe? What do you expect the standard deviation of Diane's distribution tobe?

Jack's distribution is expected to have a standard deviation of

_________

. Diane's distribution is expected to have a standard deviation of

_______________

.

(Round to two decimal places asneeded.)