Suppose Jack and Diane are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with mean 70 and standard deviation 5. Jack obtains 1000 random samples of size n=4 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=35 from the population. 1) Describe the shape you expect for Jacks 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 right, but more than the original distribution. Jack's distribution is expected to be approximately normal.
B. Jack's distribution is expected to be skewed lleft, but not as much as the original distribution. Diane's distribution is expected to be approximately normal.
C. Jack 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.
D. Jack's distribution and Diane's distribution are expected to be approximately normal. However, Jack's will have a greater standard deviation.
2) What do you expect the mean of Jack's distribution to be? What do you expect the mean of Diane's distribution to be?
A. Jack's distribution is expected to have a mean of 35. Diane's distribution is expected to have a mean of 70.
B. Jack's distribution is expected to have a mean of 70. Diane's distribution is expected to have a mean of 11.8.
C. Both Jack's distribution and Diane's distribution are expected to have a mean of 70.
D. Jack's distribution is expected to have a mean of 35. Diane's distribution is expected to have a mean of 11.8.
3) What do you expect the standard deviation of Jack's
distribution to be? What do you expect the standard deviation of Diane's
distribution to be?
A. Jacks's distribution is expected to have a standard deviation of 2.5. Diane's distribution is expected to have a standard deviation of 5.
B. Jack's distribution is expected to have a standard deviation of 5. Diane's distribution is expected to have a standard deviation of 0.80
C. BothJack's distribution and Diane's distribution are expected to have a standard deviation of 5.
D. Jack's distribution is expected to have a standard deviation of 2.5. Diane's distribution is expected to have a standard deviation of 0.8