9. Suppose Jack and Diane are each attempting to use a simulation to describe th

Question

9. 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 5. Jack obtains 1000 random samples of size n=4 from thepopulation, 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=40 from the population. Complete parts (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.

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 distribution to be? What do you expect the mean of Diane’s distribution to be ?

Jack’s distribution is expected to have a mean of 50. Diane’s distribution is expected to have a mean of 50.

(c) 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 __?___. (Round to two decimal places as needed.)

3. Determine ux and ox from the given parameters of the population and sample size.

u = 89, o = 7, n=49

ux = ?

ox= ?

Explanation / Answer

Question 2 (a) and (b) are already answered.

so i will answer part (c)  

Jack’s distribution is expected to have a standard deviation of = /sqrt(n) = 5/ sqrt(4) = 5/2 = 2.5

Diane’s distribution is expected to have a standard deviation of = /sqrt(n) = 5/ sqrt(40) = 0.79

3. Determine ux and ox from the given parameters of the population and sample size.

u = 89, o = 7, n=49

ux = 89

ox= o/sqrt(n) = 7/ sqrt(49) = 7/7 = 1

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