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 50 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). (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. O A. Diane's distribution is expected to be skewed right, but less skewed than the original distribution. Jack's distribution is expected to be approximately normal. O B. Jack's distribution is expected 10 be skewed right, but less skewed than the original distribution. Diane's distribution is expected to be approximately normal. O . Jack's distribution and Diane's distribution are expected to be approximately normal. However, Jack's will have the greater standard deviation of the sample mean, D. Jack's distribution and Diane's distribution are expected to be approximately normal. However, Jack's will have the smaller standard deviation of the sample mean, (b) What do you expect the mean of Jack's distribution to be? What do you expect the mean of Diane's distribution to be? Jack's distribution is expected to have amean of | |. Diane's distribution is expected to have a mean of D (Type integers or decimals rounded to two decimal places as needed.) () 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? Jack's distribution is expected to have a standard deviation of [ |. Diane's distribution is expected to have a standard deviation of ] (Type integers or decimals rounded to two decimal places as needed.)