that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value a/2. (B) in the chucal Za/2, or (c) state that neither the normal distribution nor the t distribution applies. Assume value The confidence level is 99% , o=4107 thousand dollars, and the histogram of 60 player salaries (in thousands of dollars) of football players on a team is as shown. ⒸA. 1/2=X OB. (Round to two decimal places as needed.) Za/2= (Round to two decimal places as needed.) OC. Neither the normal distribution nor the t distribution applies. (D) Juanba 40- 30- 20- 10- 0- 0 4000 8000 12000 16000 20000 Salary (thousands of dollars)

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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 99%, \( \sigma = 4107 \) thousand dollars, and the histogram of 60 player salaries (in thousands of dollars) of football players on a team is as shown.

**Histogram Description:**
- The horizontal axis represents Salary (in thousands of dollars) ranging from 0 to 20,000.
- The vertical axis represents Frequency.
- The histogram shows:
  - A peak around the lower salary range (0–4,000), with frequency nearly at 40.
  - A sudden drop beyond 4,000 with sparse occurrences up to 20,000.

**Options:**
- **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 99%, \( \sigma = 4107 \) thousand dollars, and the histogram of 60 player salaries (in thousands of dollars) of football players on a team is as shown. **Histogram Description:** - The horizontal axis represents Salary (in thousands of dollars) ranging from 0 to 20,000. - The vertical axis represents Frequency. - The histogram shows: - A peak around the lower salary range (0–4,000), with frequency nearly at 40. - A sudden drop beyond 4,000 with sparse occurrences up to 20,000. **Options:** - **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.
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 99%, \( \sigma = 4107 \) thousand dollars, and the histogram of 60 player salaries (in thousands of dollars) of football players on a team is as shown:

### Histogram Description
- **X-axis (Salary in thousands of dollars):** Ranges from 0 to 20000.
- **Y-axis (Frequency):** Ranges from 0 to 40.
- **Data Distribution:**
  - The majority of the player salaries are concentrated between 0 and 4000 thousand dollars, with the frequency peaking at around 35 players.
  - There are a few player salaries extending up to 20000 thousand dollars, with very low frequencies past 8000 thousand dollars.

### Exercise Instructions
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.)
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 99%, \( \sigma = 4107 \) thousand dollars, and the histogram of 60 player salaries (in thousands of dollars) of football players on a team is as shown: ### Histogram Description - **X-axis (Salary in thousands of dollars):** Ranges from 0 to 20000. - **Y-axis (Frequency):** Ranges from 0 to 40. - **Data Distribution:** - The majority of the player salaries are concentrated between 0 and 4000 thousand dollars, with the frequency peaking at around 35 players. - There are a few player salaries extending up to 20000 thousand dollars, with very low frequencies past 8000 thousand dollars. ### Exercise Instructions 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.)
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