Find the critical values XL and XR for the given confidence level c and sample size n. c=0.98, n=20 XL=(Round to three decimal places as needed.)

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**Finding Critical Chi-Square Values for Confidence Intervals**

To determine the critical values \(\chi^2_L\) and \(\chi^2_R\) for a given confidence level \(c\) and sample size \(n\), follow these steps:

Given:
- Confidence Level (\(c\)): 0.98
- Sample Size (\(n\)): 20

**Instructions:**
1. Compute \(\chi^2_L\) by using a chi-square distribution table or calculator. Round the result to three decimal places as needed.

Note: In using chi-square tables, the degrees of freedom is \(n - 1\).

Understanding these concepts will help you construct accurate confidence intervals for variance and standard deviation in statistical analyses.
Transcribed Image Text:**Finding Critical Chi-Square Values for Confidence Intervals** To determine the critical values \(\chi^2_L\) and \(\chi^2_R\) for a given confidence level \(c\) and sample size \(n\), follow these steps: Given: - Confidence Level (\(c\)): 0.98 - Sample Size (\(n\)): 20 **Instructions:** 1. Compute \(\chi^2_L\) by using a chi-square distribution table or calculator. Round the result to three decimal places as needed. Note: In using chi-square tables, the degrees of freedom is \(n - 1\). Understanding these concepts will help you construct accurate confidence intervals for variance and standard deviation in statistical analyses.
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