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?

Homework Answers

Answer #1

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?

Answer: 50

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

Answer: 50

(c) What do you expect the standard deviation of Jack 's distribution to be?

Answer:

What do you expect the standard deviation of Diane 's distribution to be?

Answer:

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