Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critica t/2: (b) find the critical value za/2, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 90%, o = 3914 thousand dollars, and the histogram of 62 player salaries (in thousands of c 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. O A. ta/2= (Round to two decimal places as needed.) В. Za/2

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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 90%, \( \sigma = 3914 \) thousand dollars, and the histogram of 62 player salaries (in thousands of dollars) of football players on a team is shown.

**Histogram Explanation:**
- **X-axis (Salary in thousands of dollars):** Ranges from 0 to 20,000.
- **Y-axis (Frequency):** Measures the number of players.
- The histogram shows most players earn between 0 and 4,000 thousand dollars, with decreasing frequency for salaries above this range.

**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 90%, \( \sigma = 3914 \) thousand dollars, and the histogram of 62 player salaries (in thousands of dollars) of football players on a team is shown. **Histogram Explanation:** - **X-axis (Salary in thousands of dollars):** Ranges from 0 to 20,000. - **Y-axis (Frequency):** Measures the number of players. - The histogram shows most players earn between 0 and 4,000 thousand dollars, with decreasing frequency for salaries above this range. **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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