Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tx/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%, 4030 thousand dollars, and the histogram of 66 player salaries (in thousands of dollars) of football players on a team is as shown. 4000 8000 12000 16000 20000 Salary (thousands of dollars) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. ta/2= (Round to two decimal places as needed.) OB. Za/27 (Round to two decimal places as needed.) O C. Neither the normal distribution nor the t distribution applies. Frequency 40 30- 20 10- 0 Q
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tx/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%, 4030 thousand dollars, and the histogram of 66 player salaries (in thousands of dollars) of football players on a team is as shown. 4000 8000 12000 16000 20000 Salary (thousands of dollars) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. ta/2= (Round to two decimal places as needed.) OB. Za/27 (Round to two decimal places as needed.) O C. Neither the normal distribution nor the t distribution applies. Frequency 40 30- 20 10- 0 Q
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Confidence Interval Construction for Player Salaries
**Objective:**
We aim to construct a confidence interval for player salaries. Depending on the situation, you can either:
1. Find the critical value \( t_{\alpha/2} \)
2. Find the critical value \( z_{\alpha/2} \)
3. State that neither the normal distribution nor the t distribution applies.
**Given Data and Conditions:**
- Confidence level: 90%
- Standard deviation (σ): 4030 thousand dollars
- A histogram representing 66 player salaries (in thousands of dollars) is provided.
**Histogram Analysis:**
The histogram shows the distribution of 66 player salaries. The x-axis represents salaries (in thousands of dollars), ranging from 0 to 20,000 thousand dollars. The y-axis denotes frequency. The salary distribution appears to be right-skewed, with the majority of player salaries clustered between 0 and 4,000 thousand dollars and fewer players earning higher salaries. Below is a detailed representation:
- Salary Range and Frequency:
- 0 to 4000: Approximately 40 players
- 4000 to 8000: Approximately 15 players
- 8000 to 12000: Approximately 5 players
- 12000 to 16000: Approximately 2 players
- 16000 to 20000: Approximately 2 players
**Question:**
Given the above information, select the correct choice and fill in the necessary value:
1. **t_{\alpha/2}** (Round to two decimal places as needed.)
2. **z_{\alpha/2}** (Round to two decimal places as needed.)
3. Neither the normal distribution nor the t distribution applies.
**Choices:**
- **A.** \( t_{\alpha/2} = \) ___
- **B.** \( z_{\alpha/2} = \) ___
- **C.** Neither the normal distribution nor the t distribution applies.
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