Asked by Lauren Chavis on May 16, 2024
Verified
The shape of the chi-squared distribution depends on:
A) the population variance
B) the number of its degrees of freedom
C) the population mean
D) all of these
E) none of these
Chi-squared Distribution
A statistical distribution that is used to describe the distribution of a sum of squared random variables, often used in hypothesis testing.
- Understand the relationship between sample size, degrees of freedom, and the shape of distributions.
Verified Answer
MS
Mariah SteeleMay 22, 2024
Final Answer :
B
Explanation :
The shape of the chi-squared distribution depends only on the number of its degrees of freedom. It is a theoretical distribution that models the sum of squared deviations from the mean, and its shape changes depending on the degrees of freedom. The population variance and mean do not directly affect the shape of this distribution.
Learning Objectives
- Understand the relationship between sample size, degrees of freedom, and the shape of distributions.
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