### Constructing a Confidence IntervalAssume that we want to construct a confidence interval. Do one of the following, as appropriate: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.### Problem Details:- The confidence level is 90%- The standard deviation \( \sigma \) is not known- We have a histogram of 60 player salaries (in thousands of dollars) of football players on a team as shown below:#### Histogram Description:- The x-axis represents the salary in thousands of dollars, ranging from 0 to 20,000.- The y-axis represents the frequency of players with those salaries.- The histogram is skewed to the right, with most of the players having salaries between 0 to 4000 thousand dollars. - The frequency of players with salaries in the 0-4000 range is the highest, exceeding 30 players. - Some players have salaries between 4000-8000, with the frequency decreasing significantly. - A few outliers have salaries between 8000-20000.### Instructions:Select the correct choice below and, if necessary, fill in the answer box to complete your choice.**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.Use the dropdown options provided to make your selection and input your answers where required.

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Description: ### Constructing a Confidence IntervalAssume that we want to construct a confidence interval. Do one of the following, as appropriate:1. Find the critical value \( t_{\alpha / 2} \)2. Find the critical value \( z_{\alpha / 2} \)3. State that neither

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ssume that we want to construct a confidence interval. Do one of 40¬ e following, as appropriate: (a) find the critical value ta/2, (b) nd the critical value z/2, or (c) state that neither the normal 30- stribution nor the t distribution applies. 20- he confidence level is 90%, o is not known, and the histogram of O player salaries (in thousands of dollars) of football players on a 10- am is as shown. 4000 8000 12000 1600 2000 Salary (thousands of dollars) elect the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. ta/2=U Frequency

ssume that we want to construct a confidence interval. Do one of 40¬ e following, as appropriate: (a) find the critical value ta/2, (b) nd the critical value z/2, or (c) state that neither the normal 30- stribution nor the t distribution applies. 20- he confidence level is 90%, o is not known, and the histogram of O player salaries (in thousands of dollars) of football players on a 10- am is as shown. 4000 8000 12000 1600 2000 Salary (thousands of dollars) elect the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. ta/2=U Frequency

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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4. Assume that we want to construct a confidence interval. Do one of the 40- following, as appropriate: (a) find the critical value t/2, (b) find the critical value za/2, or (c) state that neither the normal distribution nor the t 30- distribution applies. 20- The confidence level is 95%, o = 3464 thousand dollars, and the histogram of 50 player salaries (in thousands of dollars) of football players on a team is as shown. 10- 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/2= (Round to two decimal places as needed.) O C. Neither the normal distribution nor the t distribution applies. Frequency
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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 ty /2, (b) find the critical value z,/2, or (c) state that neither the normal distribution nor the t distribution applies. 40- 30- The confidence level is 95%, o = 3827 thousand dollars, and the histogram of 61 player salaries (in thousands of dollars) of football players on a team is as shown. 20- 10- 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= %3D (Round to two decimal places as needed.) ОВ. Za/2 = (Round to two decimal places as needed.) O C. Neither the normal distribution nor the t distribution applies. Frequency
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