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 is not known, and the histogram of 58 player salaries (in thousands of dollars) of football players on a team is as shown. 20- 10- 0- 4000 8000 1200 Salary (thousands of da ...... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. ta/2= Frequency

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 58 player salaries (in thousands of dollars) of football players on a team is as shown.

**Histogram Explanation:**
- The histogram displays the frequency distribution of the salaries (in thousands of dollars) of 58 football players.
- The horizontal axis represents salary ranges from 0 to 20,000.
- The vertical axis represents the frequency of players within each salary range.
- The highest bar is in the range of \(0 - 4000\), indicating the highest frequency of players earning in that salary range.
- Salaries become less frequent as the amount increases, which shows a right-skewed distribution.

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%, \(\sigma\) is not known, and the histogram of 58 player salaries (in thousands of dollars) of football players on a team is as shown. **Histogram Explanation:** - The histogram displays the frequency distribution of the salaries (in thousands of dollars) of 58 football players. - The horizontal axis represents salary ranges from 0 to 20,000. - The vertical axis represents the frequency of players within each salary range. - The highest bar is in the range of \(0 - 4000\), indicating the highest frequency of players earning in that salary range. - Salaries become less frequent as the amount increases, which shows a right-skewed distribution. 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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