A. O B. tx/2 (Round to two decimal places as needed.) 2a/2 = (Round to two decimal places as needed.) O C. Neither the normal distribution nor the t distribution applies.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
100%

34

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%, \( \sigma \) 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 x-axis represents player salaries in thousands of dollars, ranging from 0 to 20000.
- The y-axis represents frequency.
- The histogram bars are skewed to the right, with the majority of salaries clustered between 0 and 4000 thousand dollars.
- Frequency decreases significantly for salaries above 4000 thousand dollars.

**Options:**
- 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 90%, \( \sigma \) 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 x-axis represents player salaries in thousands of dollars, ranging from 0 to 20000. - The y-axis represents frequency. - The histogram bars are skewed to the right, with the majority of salaries clustered between 0 and 4000 thousand dollars. - Frequency decreases significantly for salaries above 4000 thousand dollars. **Options:** - 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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