Chi-Square Distribution

Key Questions

• What determines the shape of a chi-square curve?

  Answer:

  degrees of freedom

  Explanation:

  Here are some underlying principles of the df of chi squared distributions:

  • the mean of the chi squared distribution is the df
  • as df increases, the chi squared distribution becomes more and more like the normal distribution
  • df is based on the number of sample items
  Selena B. · 2 · Apr 16 2018

• What determines the shape of a chi-square curve?
• What is the shape of a chi-squared distribution?
• What happens to the shape of a chi squared distribution as the number of degrees of freedom increases?
• What deterimines the number of degrees of freedom of a chi-squared distribution?
• How do you use the moment generating function of a chi-squared distribution to find the standard deviation?
• What is the probability density function of a chi-squared distribution?
• What is the cumulative distribution function of a chi-squared distribution?
• How does the chi-squared distribution relate to the Gamma distribution?
• What can a chi-squared distribution be used to describe?
• To find the 90% confidence interval for the population variance when n = 15 and the population is known to be normally distributed, what values of chi-squared would you use?
• Interpret the interval?