If a normal population had a mean of 20 and a standard deviation of 5, what would be the mean of the sampling distribution of the
mean for N = 10?

The mean is an unbiased estimate. Therefore, the mean of the sampling distribution of the mean is
the population mean.
20
0.0
For a skewed distribution, the mean of the sampling distribution of the mean is:

true
The population mean.
false
Slightly less than the population mean.
false
Slightly more than the population mean.
The sample mean is an unbiased estimate of the poplulation mean regardless of the distribution.
For normal distributions, is the sample median an unbiased estimate of the population median?

true
Yes
false
No
The mean of the sampling distribution of the median is the population median for normal distributions.
For distributions with a positive skew, is the sample median an unbiased estimate of the population median?

false
Yes
true
No
The mean of the sampling distribution of the median is larger than the population median for positively skewed distributions.
The sampling distribution of the variance is:

false
negatively skewed
false
normally distributed
true
positively skewed
There is a large positive skew. However, with large sample sizes, the skew is reduced.
The mean of the sampling distribution of the variance (computed with N in the denominator) is

true
less than the population variance
false
equal to the population variance
false
greater than the populaton variance
The sample variance, on aveage, underestimates the population variance. Therefore, the mean of the sampling distribution will be lower than the population variance.
Assume the formula with N in the denominator is used. If the population variance is 16,
what is the mean of the sampling distribution of the variance with N = 5?

The estimate is biased such that it over estiamtes the populaton variance by N/N-1) which
in this case is 5/4 = 1.25. Therefore, the mean of the sampling distribution is (1.25)(16) = 20. Keep in mind that
this simulation only approximates the sampling distribution, so it may show a slightly differet value.
20
0.1
For a normal distribution, which has less sampling variability, the mean or the median?

false
true
the mean
false
the median
false
They are almost equal.
For a normal distribution, approximately what is the the ratio of the standard error of the median to the standard error of the mean
when the sample size is 25.

1.36
0.15
The simulation shows it is about 1.36.
>
For the following distribution, which has less sampling variability, the mean or the median?

false
true
The mean.
false
The median.
false
They are almost equal.
graphics/skew.gif
The mean has less sampling variability than the median even for most skewed distributions.