Question

# Suppose Jack and Diane are each attempting to use a simulation to describe the sampling distribution...

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.

JackJack

obtains 1000 random samples of size

n=55

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=40

from the population. Complete parts​ (a) through​ (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.

​(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?

​(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?

a) Describe the shape you expect for Jack 's distribution of sample means.

Answer: Jack's distribution is expected to be approximately normal.

Describe the shape you expect for Diane 's distribution of sample means.

Answer: Diane's distribution is expected to be approximately normal.

(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?

(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?

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