Asked by Shikha sandhir on Sep 28, 2024
Verified
The Student t distribution with parameter v = 4 has a variance V(t) equal to:
A) 4
B) 0
C) 2
D) 1
Student t Distribution
A probability distribution that is used to estimate population parameters when the sample size is small and the population variance is unknown.
Parameter v
In statistics, it can refer to a parameter associated with a specific distribution or model, often used to denote degrees of freedom in certain distributions.
Variance V(t)
A statistical measure of the dispersion of a set of data points in a data series around the mean, denoted as V(t) when considering time-series data.
- Perform and decipher the calculation of the mean, variance, and standard deviation for chosen distributions.
Verified Answer
PW
PRATYAKASH WADHWA1 day ago
Final Answer :
C
Explanation :
The variance of the Student t distribution with parameter v is defined as V(t) = v/(v-2) for v > 2. Substituting v = 4 gives V(t) = 4/2 = 2. Therefore, the best choice is C) 2.
Learning Objectives
- Perform and decipher the calculation of the mean, variance, and standard deviation for chosen distributions.