Assume that we want to construct a confidence interval. Do one of the​ following, as​ appropriate: (a) find the critical value tα/2​, ​(b) find the critical value zα/2​, or​ (c) state that neither the normal distribution nor the t distribution applies.   The confidence level is 90​%, σ=3690 thousand​ dollars, and the histogram of 59 player salaries​ (in thousands of​ dollars) of football players on a team is as shown.                           040008000120001600020000010203040Salary (thousands of dollars)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, 34; 2000, 15; 4000, 4; 6000, 2; 8000, 1; 10000, 1; 12000, 0; 14000, 0; 16000, 1; 18000, 0; 20000, 1. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.     A. tα/2=nothing ​(Round to two decimal places as​ needed.)   B. zα/2=nothing ​(Round to two decimal places as​ needed.)   C. Neither the normal distribution nor the t distribution applies.

Assume that we want to construct a confidence interval. Do one of the​ following, as​ appropriate: (a) find the critical value tα/2​, ​(b) find the critical value zα/2​, or​ (c) state that neither the normal distribution nor the t distribution applies.   The confidence level is 95​%, σ is not​ known, and the histogram of 61 player salaries​ (in thousands of​ dollars) of football players on a team is as shown.                           040008000120001600020000010203040Salary (thousands of dollars)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, 34; 2000, 16; 4000,…

Tina catches a 14-pound bass.  She does not know the population mean or standard deviation.  So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds.  Find the t and calculate a 95% (α = .05) confidence interval.

Assume that we want to construct a confidence interval. Do one of the​ following, as​ appropriate: (a) find the critical value tα/2​,​(b) find the critical value zα/2​, or​ (c) state that neither the normal distribution nor the t distribution applies.   The confidence level is 95​%, σ=3527 thousand​ dollars, and the histogram of 51 player salaries​ (in thousands of​ dollars) of football players on a team is as shown.   Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. tα/2=____ ​(Round to two decimal places as​ needed.)   B. zα/2=_____(Round to two decimal places as​ needed.)   C.Neither the normal distribution nor the t distribution applies.