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 za/2, or (c) state that neither the normal distribution nor the t distribution 40- applies. 30- The confidence level is 95%, o is not known, and the histogram of 59 player salaries (in thousands of dollars) of 20어 football players on a team is as shown. 10- 4000 8000 12000 16000 20000 Salary (thousands of dollars) Frequency

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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%, \( \sigma \) is not known, and the histogram of 59 player salaries (in thousands of dollars) of football players on a team is as shown.

**Histogram Explanation:**
- The x-axis represents the salary in thousands of dollars, ranging from 0 to 20,000.
- The y-axis represents the frequency, with values ranging up to 40.
- The histogram shows that the majority of the player salaries are clustered between 0 and 4,000 thousand dollars, with the highest frequency around 38 players.
- There is a steep decline in frequency as salaries increase beyond 4,000 thousand dollars, indicating a right-skewed distribution with few players earning higher salaries between 8,000 and 20,000 thousand dollars.
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%, \( \sigma \) is not known, and the histogram of 59 player salaries (in thousands of dollars) of football players on a team is as shown. **Histogram Explanation:** - The x-axis represents the salary in thousands of dollars, ranging from 0 to 20,000. - The y-axis represents the frequency, with values ranging up to 40. - The histogram shows that the majority of the player salaries are clustered between 0 and 4,000 thousand dollars, with the highest frequency around 38 players. - There is a steep decline in frequency as salaries increase beyond 4,000 thousand dollars, indicating a right-skewed distribution with few players earning higher salaries between 8,000 and 20,000 thousand dollars.
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