**Text for Educational Website****Constructing a Confidence Interval**Assume that we want to construct a confidence interval. Choose one of the following options, as appropriate:(a) Find the critical value $ t_{\alpha/2} $.(b) Find the critical value $ z_{\alpha/2} $.(c) State that neither the normal distribution nor the t distribution applies.**Details:**- The confidence level is 95%.- The population standard deviation, $ \sigma $, is unknown.- The histogram below presents the salaries of 58 football players, expressed in thousands of dollars.**Histogram Analysis:**The histogram shows the distribution of 58 player salaries. The x-axis represents salary ranges in thousands of dollars, and the y-axis represents frequency. Most salaries are concentrated at the lower end of the scale. - Salaries: Mostly below $4000, with a few extending up to $20000.- Frequency: The highest bar indicates a high frequency of values just below $4000.**Selection Options:**1. **$ t_{\alpha/2} $** - $ t_{\alpha/2} = $ [Fill in the value here] - (Round to two decimal places as needed.)2. **$ z_{\alpha/2} $** - $ z_{\alpha/2} = $ [Fill in the value here] - (Round to two decimal places as needed.)3. **Neither the normal distribution nor the t-distribution applies**- Select the option that best fits the data and information provided.

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Answered: Assume that we want to construct a…

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 to/2, (b) find the critical value z/2, or (c) state that neither the normal 40- distribution nor the t distribution applies. 30- The confidence level is 99%, o is not known, and the histogram of 57 player salaries (in thousands of dollars) of football players on a team is as shown. 20- 10- 0 4000 8000 12000 16000 20000 Salary (thousands of dollars) Frequency
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t/2, (b) find the critical value z/2, or (c) state that neither the normal 40- distribution nor the t distribution applies. 30- The confidence level is 95%, o is not known, and the histogram of 63 player salaries (in thousands of dollars) of football players on a team is as shown. 20- 10- 4000 8000 12000 1600 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.
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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 tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 95%, σ=3473 thousand dollars, and the histogram of 56 player salaries (in thousands of dollars) of football players on a team is as shown. 040008000120001600020000010203040Salary (thousands of dollars)Frequency Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. tα/2= (Round to two decimal places as needed.) B. zα/2= (Round to two decimal places as needed.) C. Neither the normal distribution nor the t distribution applies.
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies.The confidence level is 95%, σ is not known, and the histogram of 52 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.A.tα/2=(Round to two decimal places as needed.)B.zα/2=(Round to two decimal places as needed.) C.Neither the normal distribution nor the t distribution applies.

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