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Find the critical values x1-g/2 and x/2 for a 95% confidence level and a sample size of n = 10. 21-a/2= (Round to three decimal places as needed.)

Find the critical values x1-g/2 and x/2 for a 95% confidence level and a sample size of n = 10. 21-a/2= (Round to three decimal places as needed.)

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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**Instructions for Finding Critical Values in Chi-Square Distribution** To determine the critical values for a chi-square distribution with a 95% confidence level and a sample size, follow these steps: 1. **Given Parameters:** - Confidence Level: 95% - Sample Size (\(n\)): 10 2. **Objective:** - Find the critical values \(\chi^2_{1-\alpha/2}\) and \(\chi^2_{\alpha/2}\). 3. **Formula:** - For a 95% confidence level, \(\alpha\) (alpha) = 1 - 0.95 = 0.05. - Thus, \(\alpha/2 = 0.025\). 4. **Chi-Square Critical Values:** - Use a chi-square distribution table or calculator to find \(\chi^2_{1-\alpha/2}\) and \(\chi^2_{\alpha/2}\) with \(df = n - 1 = 10 - 1 = 9\). 5. **Display:** - \(\chi^2_{1-\alpha/2} = \) [Box for answer] - *(Round to three decimal places as needed.)* Input your calculated values into the provided space.
Transcribed Image Text:**Instructions for Finding Critical Values in Chi-Square Distribution** To determine the critical values for a chi-square distribution with a 95% confidence level and a sample size, follow these steps: 1. **Given Parameters:** - Confidence Level: 95% - Sample Size (\(n\)): 10 2. **Objective:** - Find the critical values \(\chi^2_{1-\alpha/2}\) and \(\chi^2_{\alpha/2}\). 3. **Formula:** - For a 95% confidence level, \(\alpha\) (alpha) = 1 - 0.95 = 0.05. - Thus, \(\alpha/2 = 0.025\). 4. **Chi-Square Critical Values:** - Use a chi-square distribution table or calculator to find \(\chi^2_{1-\alpha/2}\) and \(\chi^2_{\alpha/2}\) with \(df = n - 1 = 10 - 1 = 9\). 5. **Display:** - \(\chi^2_{1-\alpha/2} = \) [Box for answer] - *(Round to three decimal places as needed.)* Input your calculated values into the provided space.
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