Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t/2. (b) find the critical value za/2, or (c) state that neither the normal distribution nor the t distribution applies. 40- 30- The confidence level is 95%, o = 4182 thousand dollars, and the histogram of 56 player salaries (in thousands of dollars) of football players on a team is as shown. 20- 10- 4000 8000 12600 1600 Salary (thousands of dollars) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. ta/2=| (Round to two decimal places as needed.) OB. Za/2 = (Round to two decimal places as needed.) O C. Neither the normal distribution nor the t distribution applies. Aouenbai

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Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value \( t_{\alpha/2} \), (b) find the critical value \( z_{\alpha/2} \), or (c) state that neither the normal distribution nor the t distribution applies.

The confidence level is 95%, \( \sigma = 4182 \) thousand dollars, and the histogram of 56 player salaries (in thousands of dollars) of football players on a team is as shown.

**Graph Description:**
The histogram displays the distribution of salaries in thousands of dollars. The x-axis ranges from 0 to 20,000, and the y-axis represents frequency. The highest bar is for the 0-4000 range, indicating a high concentration of players with salaries in this range. Frequency decreases significantly in higher salary ranges, with few players earning over 8,000 thousand dollars.

**Select the correct choice below and, if necessary, fill in the answer box to complete your choice.**

A. \( t_{\alpha/2} = \) [ ]  
   (Round to two decimal places as needed.)

B. \( z_{\alpha/2} = \) [ ]  
   (Round to two decimal places as needed.)

C. Neither the normal distribution nor the t distribution applies.
Transcribed Image Text:Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value \( t_{\alpha/2} \), (b) find the critical value \( z_{\alpha/2} \), or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 95%, \( \sigma = 4182 \) thousand dollars, and the histogram of 56 player salaries (in thousands of dollars) of football players on a team is as shown. **Graph Description:** The histogram displays the distribution of salaries in thousands of dollars. The x-axis ranges from 0 to 20,000, and the y-axis represents frequency. The highest bar is for the 0-4000 range, indicating a high concentration of players with salaries in this range. Frequency decreases significantly in higher salary ranges, with few players earning over 8,000 thousand dollars. **Select the correct choice below and, if necessary, fill in the answer box to complete your choice.** A. \( t_{\alpha/2} = \) [ ] (Round to two decimal places as needed.) B. \( z_{\alpha/2} = \) [ ] (Round to two decimal places as needed.) C. Neither the normal distribution nor the t distribution applies.
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