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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 t2. (b) find the critical value z/2. of (C) distribution nor the t distribution applies. 30- The confidence level is 95%, o is not known, and the histogram of 61 player salaries (in thousands of dollars) of football players on a team is as shown. 20어 10- 0- 4000 8000 1200 16000 200 Salary (thousands of dollars) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. t12=0 (Round to two decimal places as needed.) OB. (Round to two decimal places as needed.) O C. Neither the normal distribution nor the t distribution applies. kouanbaug

Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t2. (b) find the critical value z/2. of (C) distribution nor the t distribution applies. 30- The confidence level is 95%, o is not known, and the histogram of 61 player salaries (in thousands of dollars) of football players on a team is as shown. 20어 10- 0- 4000 8000 1200 16000 200 Salary (thousands of dollars) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. t12=0 (Round to two decimal places as needed.) OB. (Round to two decimal places as needed.) O C. Neither the normal distribution nor the t distribution applies. kouanbaug

MATLAB: An Introduction with Applications
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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**Title: Constructing Confidence Intervals for Football Player Salaries** 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 95%, \(\sigma\) is not known, and the histogram of 61 player salaries (in thousands of dollars) of football players on a team is as shown. **Histogram Description:** - The x-axis represents the salary (in thousands of dollars), ranging from 0 to over 20,000. - The y-axis represents the frequency of salaries. - Most salaries are clustered below 4,000, with a significant frequency at this level. - There are a few salaries that extend beyond 12,000, indicating a right-skewed distribution. **Choices:** 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.**
Transcribed Image Text:**Title: Constructing Confidence Intervals for Football Player Salaries** 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 95%, \(\sigma\) is not known, and the histogram of 61 player salaries (in thousands of dollars) of football players on a team is as shown. **Histogram Description:** - The x-axis represents the salary (in thousands of dollars), ranging from 0 to over 20,000. - The y-axis represents the frequency of salaries. - Most salaries are clustered below 4,000, with a significant frequency at this level. - There are a few salaries that extend beyond 12,000, indicating a right-skewed distribution. **Choices:** 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.**
### Histogram of Salary Distribution This histogram illustrates the frequency distribution of salaries measured in thousands of dollars. #### Key Features: - **X-Axis (Salary in thousands):** Ranges from 0 to 20,000 dollars, segmented into intervals such as 0-4,000, 4,000-8,000, and so on. - **Y-Axis (Frequency):** Represents the number of occurrences within each salary interval. #### Observations: - The majority of salaries are concentrated in the lower ranges, particularly between 0 and 4,000 thousand dollars. - There is a steep decline in frequency as the salary increases, with significantly fewer salaries in the higher ranges. - A few outliers exist in ranges above 16,000 thousand dollars, indicating very high salaries are less common. This histogram provides insights into the distribution of salary data, highlighting the variance and skewness towards lower salary brackets.
Transcribed Image Text:### Histogram of Salary Distribution This histogram illustrates the frequency distribution of salaries measured in thousands of dollars. #### Key Features: - **X-Axis (Salary in thousands):** Ranges from 0 to 20,000 dollars, segmented into intervals such as 0-4,000, 4,000-8,000, and so on. - **Y-Axis (Frequency):** Represents the number of occurrences within each salary interval. #### Observations: - The majority of salaries are concentrated in the lower ranges, particularly between 0 and 4,000 thousand dollars. - There is a steep decline in frequency as the salary increases, with significantly fewer salaries in the higher ranges. - A few outliers exist in ranges above 16,000 thousand dollars, indicating very high salaries are less common. This histogram provides insights into the distribution of salary data, highlighting the variance and skewness towards lower salary brackets.
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