Asked by Alyssa Davis on May 27, 2024
Verified
Like that of the Student t-distribution, the shape of the chi-squared distribution depends on:
A) the population size
B) the number of its degrees of freedom
C) the population standard deviation
D) whether the population is unimodal or bimodal
E) none of these
Chi-squared Distribution
A probability distribution that describes the distribution of the sum of the squares of variables that are independently distributed according to a standard normal distribution.
Degrees of Freedom
The number of independent values or quantities that can vary in an analysis without violating any constraints.
- Acknowledge the interplay between sample size, degrees of freedom, and the contours of distributions.
Verified Answer
JS
Jobanpreet SinghJun 01, 2024
Final Answer :
B
Explanation :
The shape of the chi-squared distribution depends on the number of its degrees of freedom. The distribution is skewed to the right and becomes more symmetrical as the degrees of freedom increase. The population size, population standard deviation, and whether the population is unimodal or bimodal are not factors that affect the shape of the chi-squared distribution.
Learning Objectives
- Acknowledge the interplay between sample size, degrees of freedom, and the contours of distributions.
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