The confidence level is 99%, o is not known, and the histogram of 53 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. OA. ta/2= OB. (Round to two decimal places as needed.) Za/2= (Round to two decimal places as needed.) OC. Neither the normal distribution nor the t distribution applies. 30- 20- 10- 0 4000 8000 12000 16000 20000 Salary (thousands of dollars)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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 99%, \(\sigma\) is not known, and the histogram of 53 player salaries (in thousands of dollars) of football players on a team is as shown.

**Histogram Description:**

The histogram displays the frequency distribution of player salaries in thousands of dollars. The x-axis represents salary ranges from 0 to 20,000, and the y-axis represents the frequency of players within those salary ranges. Most players earn between 0 to 4,000, with frequency decreasing significantly as salaries increase.

**Choices:**

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

- A. \( t_{\alpha/2} = \underline{\hspace{2cm}} \)  
  (Round to two decimal places as needed.)

- B. \( z_{\alpha/2} = \underline{\hspace{2cm}} \)  
  (Round to two decimal places as needed.)

- C. \(\bigcirc\) Neither the normal distribution nor the t distribution applies.
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 99%, \(\sigma\) is not known, and the histogram of 53 player salaries (in thousands of dollars) of football players on a team is as shown. **Histogram Description:** The histogram displays the frequency distribution of player salaries in thousands of dollars. The x-axis represents salary ranges from 0 to 20,000, and the y-axis represents the frequency of players within those salary ranges. Most players earn between 0 to 4,000, with frequency decreasing significantly as salaries increase. **Choices:** Select the correct choice below and, if necessary, fill in the answer box to complete your choice. - A. \( t_{\alpha/2} = \underline{\hspace{2cm}} \) (Round to two decimal places as needed.) - B. \( z_{\alpha/2} = \underline{\hspace{2cm}} \) (Round to two decimal places as needed.) - C. \(\bigcirc\) Neither the normal distribution nor the t distribution applies.
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