to view the table of Chi-Square critical values. ole number.) three decimal places as needed.) three decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**Educational Content: Estimating Chi-Square Critical Values and Confidence Intervals**

In this exercise, we will find the number of degrees of freedom, the critical values \(\chi^2_L\) and \(\chi^2_R\), and the confidence interval estimate of \(\sigma\). We assume a simple random sample has been selected from a population with a normal distribution.

**Context:**

- For nicotine in menthol cigarettes, with 99% confidence:
  - Sample size \(n = 25\)
  - Sample standard deviation \(s = 0.23\) mg

**Steps:**

1. **Determine Degrees of Freedom:**
   - Formula: \(df = n - 1\)
   - Enter the whole number.

2. **Find Chi-Square Critical Values:**
   - \(\chi^2_L\): Left critical value (round to three decimal places).
   - \(\chi^2_R\): Right critical value (round to three decimal places).

3. **Calculate Confidence Interval for \(\sigma\):**
   - Use the relevant chi-square values to determine the confidence interval.
   - Input the values, rounding to two decimal places.

**Helpful Resource:**

- Access the Chi-Square critical values table via the provided link to ensure accurate calculations.

---

**Note:** This educational guide is meant to assist in filling out the details needed for statistical analysis. Steps should be followed as outlined to ensure precise estimation of the confidence interval and critical values.
Transcribed Image Text:**Educational Content: Estimating Chi-Square Critical Values and Confidence Intervals** In this exercise, we will find the number of degrees of freedom, the critical values \(\chi^2_L\) and \(\chi^2_R\), and the confidence interval estimate of \(\sigma\). We assume a simple random sample has been selected from a population with a normal distribution. **Context:** - For nicotine in menthol cigarettes, with 99% confidence: - Sample size \(n = 25\) - Sample standard deviation \(s = 0.23\) mg **Steps:** 1. **Determine Degrees of Freedom:** - Formula: \(df = n - 1\) - Enter the whole number. 2. **Find Chi-Square Critical Values:** - \(\chi^2_L\): Left critical value (round to three decimal places). - \(\chi^2_R\): Right critical value (round to three decimal places). 3. **Calculate Confidence Interval for \(\sigma\):** - Use the relevant chi-square values to determine the confidence interval. - Input the values, rounding to two decimal places. **Helpful Resource:** - Access the Chi-Square critical values table via the provided link to ensure accurate calculations. --- **Note:** This educational guide is meant to assist in filling out the details needed for statistical analysis. Steps should be followed as outlined to ensure precise estimation of the confidence interval and critical values.
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