# The Sampling Distribution of a Sample Mean

## Sampling Distribution of the Mean

### Questions

**Question 1 out of 5.**

The population has a mean of and a standard deviation of . The
sample size of your sampling distribution is . What is the mean of
the sampling distribution of the mean?

**Question 2 out of 5.**

The population has a mean of and a standard deviation of . The
sample size of your sampling distribution is . What is the variance
of the sampling distribution of the mean?

**Question 3 out of 5.**

The population has a mean of and a standard deviation of . The
sample size of your sampling distribution is . What is the standard
error of the mean?

**Question 4 out of 5.**

The sampling distribution of the mean, with , of a moderately negatively skewed distribution is:

Positively skewed

Negatively skewed

About normal

**Question 5 out of 5.**

The entire student body of students
took a test. These test scores have a mean of , a standard deviation
of , and are slightly positively skewed. If you randomly chose of
these test scores and calculated the mean over and over again, what
could be the mean, standard deviation, and skew of this distribution?

Mean = , SD = , Skew =

Mean = , SD = , Skew =

Mean = , SD = , Skew =

Mean = , SD = , Skew = about

Mean = , SD = , Skew = about