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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