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Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. OB. ... tα/2 = (Round to two decimal places as needed.) Zal2= (Round to two decimal places as needed.) OC. Neither the normal distribution nor the t distribution applies.

Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. OB. ... tα/2 = (Round to two decimal places as needed.) Zal2= (Round to two decimal places as needed.) OC. Neither the normal distribution nor the t distribution applies.

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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**Confidence Interval Analysis for 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 \( z_{\alpha/2} \). (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 59 player salaries (in thousands of dollars) of football players on a team is as shown. **Histogram Explanation** - **X-Axis:** Represents player salaries in thousands of dollars, ranging from 0 to 20,000. - **Y-Axis:** Represents the frequency of salaries. - The histogram shows a skewed distribution with the majority of salaries concentrated between 0 and 4,000 thousand dollars. --- **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:**Confidence Interval Analysis for 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 \( z_{\alpha/2} \). (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 59 player salaries (in thousands of dollars) of football players on a team is as shown. **Histogram Explanation** - **X-Axis:** Represents player salaries in thousands of dollars, ranging from 0 to 20,000. - **Y-Axis:** Represents the frequency of salaries. - The histogram shows a skewed distribution with the majority of salaries concentrated between 0 and 4,000 thousand dollars. --- **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.
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