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 applies. The confidence level is 90%, o=3960 thousand dollars, and the histogram of 58 player salaries (in thousands of dollars) of 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. Aouanba 30- 20- 10- 0 4000 8000 1200 Salary (thousands of

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Constructing a Confidence Interval**

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%, σ = 3960 thousand dollars, and the histogram of 58 player salaries (in thousands of dollars) of football players on a team is as shown:

![Histogram of 58 player salaries (in thousands of dollars) of football players](image_url)

**Histogram Explanation**

The histogram provided shows the distribution of player salaries. The horizontal axis represents salary (in thousands of dollars), ranging from 0 to 20,000. The vertical axis represents frequency, indicating the number of players with salaries in each range.

- The highest bar corresponds to salaries between 0 and 4000 thousand dollars, indicating that the majority of the players earn in this range.
- The frequency decreases as we move to higher salary ranges, with a few players earning between 4000 and 8000 thousand dollars.
- Salaries above 8000 thousand dollars are sparse, with minimal occurrences.

**Questions**

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.

[Input options for corresponding answers provided below each choice]
Transcribed Image Text:**Constructing a Confidence Interval** 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%, σ = 3960 thousand dollars, and the histogram of 58 player salaries (in thousands of dollars) of football players on a team is as shown: ![Histogram of 58 player salaries (in thousands of dollars) of football players](image_url) **Histogram Explanation** The histogram provided shows the distribution of player salaries. The horizontal axis represents salary (in thousands of dollars), ranging from 0 to 20,000. The vertical axis represents frequency, indicating the number of players with salaries in each range. - The highest bar corresponds to salaries between 0 and 4000 thousand dollars, indicating that the majority of the players earn in this range. - The frequency decreases as we move to higher salary ranges, with a few players earning between 4000 and 8000 thousand dollars. - Salaries above 8000 thousand dollars are sparse, with minimal occurrences. **Questions** 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. [Input options for corresponding answers provided below each choice]
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