QUESTION 4 Which of the following has a chi-square distribution? a. (n-1)s2/02. b. (n-1)o/s. c. (n-1)s/o. d. (n-1)s2/02.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Question 4:**

Which of the following has a chi-square distribution?

- a. \((n - 1)s^2/\sigma^2\)
- b. \((n - 1)\sigma/s\)
- c. \((n - 1)s/\sigma\)
- d. \((n - 1)s^2/\sigma\)

**Explanation:**

This question tests the understanding of the chi-square distribution, which is often used in statistics to test hypotheses about the variance of a normally distributed population. The correct answer is option **a**, \((n - 1)s^2/\sigma^2\), as this represents the formula for a sample variance divided by the population variance, which follows a chi-square distribution with \((n - 1)\) degrees of freedom.
Transcribed Image Text:**Question 4:** Which of the following has a chi-square distribution? - a. \((n - 1)s^2/\sigma^2\) - b. \((n - 1)\sigma/s\) - c. \((n - 1)s/\sigma\) - d. \((n - 1)s^2/\sigma\) **Explanation:** This question tests the understanding of the chi-square distribution, which is often used in statistics to test hypotheses about the variance of a normally distributed population. The correct answer is option **a**, \((n - 1)s^2/\sigma^2\), as this represents the formula for a sample variance divided by the population variance, which follows a chi-square distribution with \((n - 1)\) degrees of freedom.
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