Question

Suppose Diane and Jack 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. Diane obtains 1000 random samples of size 4 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 sten 30 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. Jack's distribution is expected to be showed right, but more than the original distribution, Diane's distribution is expected to be approximately normal OB Diane's distribution is expected to be skewed right, but not as much as the original distribution Jack's distribution is expected to be approximately normal OC Dane'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 O D. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have a greater standard deviation (b) What do you expect the mean of Dane's distribution to be? What do you expect the mean of Jack's distribution to be? Dane'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 Dane's distribution to be? What do you expect the standard deviation of Jack'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 (Round to two decimal places as needed.) Click to select your answers lawo 7xBNC

Answer 1

Solution :

a) Option B

b) Diane's mean = 50

jack's mean = 50

c) Diane's standard deviation = 7.5

jack's standard deviation = 2.74

(9) option B Diana's distribution is expected to be sephsed right, but not as much as the original distribution, Jacks distribution is expected to be approximately normal. (6) mean of Diane's distriddition to be - Diane's distribution is expected to have a mean of Jacks distribution is expected to have a mean of 50. (c) Dianes dutribution is expected to have standard dostali rn V Tacks distribution deviation of a is expected to have a standed 2 = 15 = 2.74