A quarterback threw 5 interceptions in his firstgame, 4 interceptions in his secondgame, and 2 interceptions in his thirdgame, and then he retired. Consider the values 5, 4, and 2 to be a population. Assume that samples of size 2 are randomly selected(with replacement) from the population. Complete parts(a) through(c) below.

a. List the 9 different possiblesamples, and find the mean of each sample.

Identify the 9 different possible samples. Select all that apply.

A.

{2,9}

B.

{5,4}

Your answer is correct.

C.

{4,4,4}

D.

{6,5}

E.

{2}

F.

{5,2,4}

G.

{2,2,2}

H.

{4,2}

Your answer is correct.

I.

{5,4,2}

J.

{5,5}

Your answer is correct.

K.

{2,2}

Your answer is correct.

L.

{5,6}

M.

{7,4}

N.

{5}

O.

{2,4}

Your answer is correct.

P.

{5,2}

Your answer is correct.

Q.

{5,5,5}

R.

{2,5}

Your answer is correct.

S.

{4,5,2}

T.

{4,5}

Your answer is correct.

U.

{9,2}

V.

{4,7}

W.

{4}

X.

{2,4,5}

Y.

{2,5,4}

Z.

{4,4}

Your answer is correct.

[.

{4,2,5}

List the mean of each of the samples.(If multiple samples have the samemean, list the same mean multipletimes.)

4.5 comma 3 comma 5 comma 2 comma 3 comma 3.5 comma 3.5 comma 4.5 comma 4

4.5,3,5,2,3,3.5,3.5,4.5,4

(Round to one decimal place as needed. Use a comma to separate answers asneeded.)

b. What is the mean of the sample means from part(a)?

3.7

3.7

(Round to one decimal place asneeded.)

c. Is the mean of the sampling distribution from part(b) equal to the mean of the population of the three listedvalues? Are those means alwaysequal?

Select the correct choice belowand, ifnecessary, fill in the answer box to complete your choice.

A.

The mean of the sampling distribution from part(b) is equal to the mean of the population of the three listed values.However, those means are not always equal.

B.

The mean of the sampling distribution from part(b) is not equal to the mean of the population of the three listedvalues; the mean of the population of the three listed values is

nothing

. Those means are not always equal.

(Round to one decimal place asneeded.)

C.

The mean of the sampling distribution from part(b) is equal to the mean of the population of the three listed values. Those means are always equal.

Click to select and enter your answer(s) and then click Check Answer.

Is this A, B or C?