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 is not known, and the histogram of 65 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. 1/2 B. (Round to two decimal places as needed) Za/2= Masind to him danimal minnndad\ Frequency 40- 30- 20- 10- - 0 4000 8000 12000 16000 20000 Salary (thousands of dollars) W
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 is not known, and the histogram of 65 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. 1/2 B. (Round to two decimal places as needed) Za/2= Masind to him danimal minnndad\ Frequency 40- 30- 20- 10- - 0 4000 8000 12000 16000 20000 Salary (thousands of dollars) W
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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![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 65 player salaries (in thousands of dollars) of football players on a team is as shown:
**Histogram Explanation:**
- The histogram represents the distribution of salaries of 65 football players.
- The x-axis shows salary ranges in thousands of dollars, extending from 0 to 20,000.
- The y-axis indicates frequency, with the highest bar reaching approximately 40.
- The highest frequency occurs in the first salary range (0 to 4000 thousand dollars).
- As the salary range increases, the frequency of players in those ranges decreases significantly, showing a right-skewed distribution.
**Select the correct choice below and, if necessary, fill in the answer box to complete your choice.**
- \( \circ \) A. \( t_{\alpha/2} = \) ______ (Round to two decimal places as needed.)
- \( \circ \) B. \( z_{\alpha/2} = \) ______ (Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38d7ad60-cd84-472c-8996-4a82bb3a3198%2Ffc751de9-113f-4bc7-874c-f0d49c510008%2Fx7kjob_processed.jpeg&w=3840&q=75)
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 65 player salaries (in thousands of dollars) of football players on a team is as shown:
**Histogram Explanation:**
- The histogram represents the distribution of salaries of 65 football players.
- The x-axis shows salary ranges in thousands of dollars, extending from 0 to 20,000.
- The y-axis indicates frequency, with the highest bar reaching approximately 40.
- The highest frequency occurs in the first salary range (0 to 4000 thousand dollars).
- As the salary range increases, the frequency of players in those ranges decreases significantly, showing a right-skewed distribution.
**Select the correct choice below and, if necessary, fill in the answer box to complete your choice.**
- \( \circ \) A. \( t_{\alpha/2} = \) ______ (Round to two decimal places as needed.)
- \( \circ \) B. \( z_{\alpha/2} = \) ______ (Round to two decimal places as needed.)
![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 65 player salaries (in thousands of dollars) of football players on a team is as shown.
**Options:**
- A: \( t_{\alpha/2} = \) [Textbox]
(Round to two decimal places as needed.)
- B: \( z_{\alpha/2} = \) [Textbox]
(Round to two decimal places as needed.)
- C: Neither the normal distribution nor the t distribution applies.
**Graph Explanation:**
The histogram illustrates the distribution of salaries for 65 football players, measured in thousands of dollars. The horizontal axis represents the salary (ranging from 0 to 20,000) while the vertical axis represents the frequency of players falling into each salary range.
- The first bar, representing salaries up to 4,000, is the tallest, with a frequency of about 35 players.
- Subsequent bars represent salary ranges of 4,000 increments, with significantly fewer players as the salary increases.
- The distribution is right-skewed, indicating that most players have lower salaries, with only a few earning toward the higher end.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38d7ad60-cd84-472c-8996-4a82bb3a3198%2Ffc751de9-113f-4bc7-874c-f0d49c510008%2Fgat405q_processed.jpeg&w=3840&q=75)
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 65 player salaries (in thousands of dollars) of football players on a team is as shown.
**Options:**
- A: \( t_{\alpha/2} = \) [Textbox]
(Round to two decimal places as needed.)
- B: \( z_{\alpha/2} = \) [Textbox]
(Round to two decimal places as needed.)
- C: Neither the normal distribution nor the t distribution applies.
**Graph Explanation:**
The histogram illustrates the distribution of salaries for 65 football players, measured in thousands of dollars. The horizontal axis represents the salary (ranging from 0 to 20,000) while the vertical axis represents the frequency of players falling into each salary range.
- The first bar, representing salaries up to 4,000, is the tallest, with a frequency of about 35 players.
- Subsequent bars represent salary ranges of 4,000 increments, with significantly fewer players as the salary increases.
- The distribution is right-skewed, indicating that most players have lower salaries, with only a few earning toward the higher end.
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