Asked by Taylor Lester on Sep 28, 2024
Verified
The variance of a Student t distribution approaches zero as the degrees of freedom approaches infinity.
Student T Distribution
A probability distribution used in statistical inference for datasets with small sample sizes and unknown population standard deviations.
Variance
A measure of the dispersion of a set of data points around their mean; the average of the squared differences from the Mean.
Degrees of Freedom
The number of independent values or quantities that can freely vary in the analysis of statistical calculations without violating any constraints.
- Attain an insight into the rudimentary aspects of statistical distributions such as chi-squared, F, and Student t distributions, including their applications.
Verified Answer
GH
GLADWYNN HAINEabout 1 hour ago
Final Answer :
False
Explanation :
The variance of a Student t distribution approaches 1 (the variance of a standard normal distribution) as the degrees of freedom approach infinity, not zero.
Learning Objectives
- Attain an insight into the rudimentary aspects of statistical distributions such as chi-squared, F, and Student t distributions, including their applications.