Asked by Bethany Jantes on Sep 28, 2024
Verified
The Student t distribution with parameter v = 2 has a mean E(t) equal to:
A) 0
B) 1
C) 2
D) None of these choices.
Student t Distribution
A probability distribution used in statistics when estimating the mean of a normally distributed population in situations where the sample size is small and population standard deviation is unknown.
Parameter v
This seems to be a typographical error or a non-standard term. If "Parameter" was intended, it refers to a value that characterizes a population in statistics. NO.
Mean E(t)
The expected value of a random variable at time t, reflecting the average outcome if an experiment were repeated many times.
- Compute and interpret the mean, variance, and standard deviation for specific distributions.
Verified Answer
JW
Jamye Williams2 days ago
Final Answer :
A
Explanation :
The mean of a Student's t-distribution, for degrees of freedom v>1v > 1v>1 , is 0. Since v=2v = 2v=2 satisfies this condition, the mean E(t)=0E(t) = 0E(t)=0 .
Learning Objectives
- Compute and interpret the mean, variance, and standard deviation for specific distributions.