normal distribution. Nicotine in menthol cigarettes 95% confidence; n = 22, s = 0.27 mg. Click the icon to view the table of Chi-Square critical values. df = (Type a whole number.) x? = (Round to three decimal places as needed.) Y% = (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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## Educational Exercise: Chi-Square Critical Values and Confidence Interval Estimate

### Instructions:

Use the given information to determine the following: 
1. The number of degrees of freedom (df).
2. The critical values \( \chi^2_L \) and \( \chi^2_R \).
3. The confidence interval estimate of \( \sigma \).

It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution.

#### Given Information:
- **Context:** Nicotine in menthol cigarettes with 95% confidence.
- **Sample size:** \( n = 22 \)
- **Sample standard deviation:** \( s = 0.27 \, \text{mg} \).

#### Tasks:
1. **Degrees of Freedom (df):**
   - Type a whole number in the provided box.

2. **Critical Values:**
   - \( \chi^2_L \): Round to three decimal places as needed and input in the corresponding box.
   - \( \chi^2_R \): Round to three decimal places as needed and input in the corresponding box.

#### Additional Resources:

- **Chi-Square Table:** Click the icon to view the table of Chi-Square critical values for reference.

This exercise helps you practice calculating degrees of freedom and critical values for constructing confidence intervals using the Chi-Square distribution.
Transcribed Image Text:## Educational Exercise: Chi-Square Critical Values and Confidence Interval Estimate ### Instructions: Use the given information to determine the following: 1. The number of degrees of freedom (df). 2. The critical values \( \chi^2_L \) and \( \chi^2_R \). 3. The confidence interval estimate of \( \sigma \). It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution. #### Given Information: - **Context:** Nicotine in menthol cigarettes with 95% confidence. - **Sample size:** \( n = 22 \) - **Sample standard deviation:** \( s = 0.27 \, \text{mg} \). #### Tasks: 1. **Degrees of Freedom (df):** - Type a whole number in the provided box. 2. **Critical Values:** - \( \chi^2_L \): Round to three decimal places as needed and input in the corresponding box. - \( \chi^2_R \): Round to three decimal places as needed and input in the corresponding box. #### Additional Resources: - **Chi-Square Table:** Click the icon to view the table of Chi-Square critical values for reference. This exercise helps you practice calculating degrees of freedom and critical values for constructing confidence intervals using the Chi-Square distribution.
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