Assume that we want to construct a confidence interval. Do one of thefollowing, asappropriate: (a) find the critical value t Subscript alpha divided by 2

t/2, (b) find the critical value z Subscript alpha divided by 2

z/2, or(c) state that neither the normal distribution nor the t distribution applies.

The confidence level is 95

95%, sigma

is notknown, and the histogram of 60

60 player salaries(in thousands ofdollars) of football players on a team is as shown.

0

4000

8000

12000

16000

20000

0

10

20

30

40

Salary(thousandsofdollars)

Frequency

A histogram has a horizontal axis labeled "Salary (thousands of dollars)" from below 0 to above 20000 in increments of 2000 and a vertical axis labeled "Frequency" from 0 to 40 in increments of 10. The histogram contains vertical bars of width 2000, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the salary is listed first and the height is listed second: 0, 32; 2000, 11; 4000, 3; 6000, 4; 8000, 4; 10000, 4; 12000, 0; 14000, 0; 16000, 1; 18000, 0; 20000, 1.

Select the correct choice belowand, ifnecessary, fill in the answer box

A.

t Subscript alpha divided by 2

t/2equals

=

nothing

(Round to two decimal places asneeded.)

B.

z Subscript alpha divided by 2

z/2equals

=

nothing

(Round to two decimal places asneeded.)

C.

Neither the normal distribution nor the t distribution applie