Use the given information to find the number of degrees of freedom, the critical values x and xR, and the confidence interval estimate of o. It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution. Nicotine in menthol cigarettes 98% confidence; n= 25, s= 0.28 mg. Click the icon to view the table of Chi-Square critical values. df = 24 (Type a whole number.) x² =] (Round to three decimal places as needed.)

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Author:Amos Gilat
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**Finding Degrees of Freedom and Critical Values in Chi-Square Distribution**

The objective is to determine the number of degrees of freedom, the critical values \( \chi^2_L \) and \( \chi^2_R \), and the confidence interval estimate of \( \sigma \), assuming a simple random sample from a normally distributed population.

**Given:**
- Confidence Level: 98%
- Sample Size (\( n \)): 25
- Sample Standard Deviation (\( s \)): 0.28 mg

**Instructions:**
1. **Degrees of Freedom (df):** Calculate using \( df = n - 1 \).
   - Enter the value of \( df = 24 \). (Type a whole number.)

2. **Chi-Square Critical Values:**
   - \( \chi^2_L = \) (Round to three decimal places as needed.)
   - Information icon available to view the table of Chi-Square critical values for reference.

Ensure to refer to the Chi-Square table for accurate critical values corresponding to the degrees of freedom and the confidence level required.

This content is crucial for understanding statistical inference, particularly in estimating population variance and constructing confidence intervals.
Transcribed Image Text:**Finding Degrees of Freedom and Critical Values in Chi-Square Distribution** The objective is to determine the number of degrees of freedom, the critical values \( \chi^2_L \) and \( \chi^2_R \), and the confidence interval estimate of \( \sigma \), assuming a simple random sample from a normally distributed population. **Given:** - Confidence Level: 98% - Sample Size (\( n \)): 25 - Sample Standard Deviation (\( s \)): 0.28 mg **Instructions:** 1. **Degrees of Freedom (df):** Calculate using \( df = n - 1 \). - Enter the value of \( df = 24 \). (Type a whole number.) 2. **Chi-Square Critical Values:** - \( \chi^2_L = \) (Round to three decimal places as needed.) - Information icon available to view the table of Chi-Square critical values for reference. Ensure to refer to the Chi-Square table for accurate critical values corresponding to the degrees of freedom and the confidence level required. This content is crucial for understanding statistical inference, particularly in estimating population variance and constructing confidence intervals.
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