Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value ta/2. (b) find the critical value zu/2, or (c) state that neither the normal distribution nor the t distribution applies. 40- 30- The confidence level is 99%, o = 3998 thousand dollars, and the histogram of 62 player salaries (in thousands of dollars) of football players on a team is as shown. 20- 10- 4000 8000 1200 1600 2000 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.) OC. Neither the normal distribution nor the t distribution applies. Aouenbai
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value ta/2. (b) find the critical value zu/2, or (c) state that neither the normal distribution nor the t distribution applies. 40- 30- The confidence level is 99%, o = 3998 thousand dollars, and the histogram of 62 player salaries (in thousands of dollars) of football players on a team is as shown. 20- 10- 4000 8000 1200 1600 2000 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.) OC. Neither the normal distribution nor the t distribution applies. Aouenbai
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
Transcribed Image Text:**Text Transcription and Explanation:**
The task is to construct a confidence interval, requiring one of the following: (a) finding the critical value \( t_{\alpha/2} \), (b) finding the critical value \( z_{\alpha/2} \), or (c) stating that neither the normal distribution nor the t distribution applies.
Parameters:
- Confidence level: 99%
- Standard deviation (\(\sigma\)): $3998 \times 1000
- The data comprises a histogram of salaries for 62 football players.
**Histogram Description:**
- **X-axis:** Represents salary in thousands of dollars.
- **Y-axis:** Represents frequency, the number of players within each salary range.
- Salary categories depicted range from 0 to 20,000 (in thousands of dollars).
- Most players earn between $0 and $4,000 (thousands), with the frequency decreasing as salaries increase.
**Choices:**
1. **Option A:**
- Prompt: \( t_{\alpha/2} = \)
- Instructions: Round to two decimal places as needed.
2. **Option B:**
- Prompt: \( z_{\alpha/2} = \)
- Instructions: Round to two decimal places as needed.
3. **Option C:**
- Statement: Neither the normal distribution nor the t distribution applies.
**Instructions:**
Select the correct choice based on the situation given and input the necessary calculations if required.
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