4,1

4,4

4,10

10,1

10,4

10,10

a. Find the value of the population standard deviation .

=

nothing

(Round to three decimal places asneeded.)

b. Find the standard deviation of each of the ninesamples, then summarize the sampling distribution of the standard deviations in the format of a table representing the probability distribution of the distinct standard deviation values. Use ascending order of the sample standard deviations.

s

Probability

2.1

0

1

nothing

4.5

2.121

3

nothing

4.243

18

8.5

nothing

40.5

9

6.364

nothing

(Type integers orfractions.)

c. Find the mean of the sampling distribution of the sample standard deviations.

The mean of the sampling distribution of the sample standard deviations is

nothing

.

(Round to three decimal places asneeded.)

d. Do the sample standard deviations target the value of the population standarddeviation? Ingeneral, do sample standard deviations make good estimators of population standarddeviations? Why or whynot?

A.

The sample standard deviations do not target the population standarddeviation, therefore, sample standard deviations are biased estimators.

B.

The sample standard deviations do not target the population standarddeviation, therefore, sample standard deviations are unbiased estimators.

C.

The sample standard deviations do target the population standarddeviation, therefore, sample standard deviations are biased estimators.

D.

The sample standard deviations do target the population standarddeviation, therefore, sample standard deviations are unbiased estimators.