Asked by Rachel Laginha on Sep 28, 2024
Which of the following statements is true?
A) The chi-squared distribution is positively skewed.
B) All the values of the chi-squared distribution are non-negative.
C) The shape of the chi-squared distribution depends on its degrees of freedom.
D) All of these choices are true.
Chi-Squared Distribution
A statistical distribution used in hypothesis testing that is derived from the sum of the squares of independent standard normal random variables.
Positively Skewed
Refers to a distribution of data where the tail on the right side of the distribution is longer or fatter than the left side, indicating that the majority of the data points are concentrated on the left.
Degrees of Freedom
The number of independent pieces of information available to estimate another piece of information or the parameter in a model.
- Understand the characteristics and parameters of Student t, chi-squared, and F distributions.
- Gain an understanding of the deviation from symmetry in statistical distributions and identify those that exhibit no skewness.
Learning Objectives
- Understand the characteristics and parameters of Student t, chi-squared, and F distributions.
- Gain an understanding of the deviation from symmetry in statistical distributions and identify those that exhibit no skewness.