Suppose Diane and Jack 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 10. Diane obtains 1000 random samples of size n= 3 from the population, finds the mean of the means, and determines the standard deviation of the means. Jack does the same simulation, but obtains 1000 random samples of size n = 40 from the population. Complete parts (a) through (c) below. (a) Describe the shape you expect for Diane's distribution of sample means. Describe the shape you expect for Jack's distribution of sample means. Choose the correct answer below. O A. Diane's distribution is exp ack's distribution is expected to be approximately normal. O B. Jack's distribution is expected to be skew expected to be approximately normal. O C. Diane's distribution and Jack's distribution are e ly normal. However, Diane's will have a greater standard deviation. O D. Diane's distribution is expected to be skewed left, but not as much as the original distribution. Jack's distribution is expected to be approximately normal. (b) What do you expect the mean of Diane's distribution to be? What do you expect the mean of Jack's distribution to be? Diane's distribution is expected to have a mean of . Jack's distribution is expected to have a mean of (c) What do you expect the standard deviation of Diane's distribution to be? What do you expect the standard deviation of Jack's distribution to be? Diane's distribution is expected to have a standard deviation of [ ]. Jack's distribution is expected to have a standard deviation of (Round to two decimal places as needed.) Next Type here to search Joy 4:48 PM 85'F Mostly cloudy ^ 410/13/2021 hp 2 3 6 8 9 O tab W E R Y P caps lock A S D H J K L enter pause shift T X C P N M T shift alt alt ctri