MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.
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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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