Which of the following is(are) True? I. The means of the Student’s t and standard normal distributions are equal. II. The standard normal distribution approaches the Student’s t distribution as the degrees of freedom becomes large. A. I only B. II only C. Both I and II D. Neither I nor II

Cabiolab

Cabiolab

Answered question

2020-10-25

Which of the following is(are) True?
I. The means of the Student’s t and standard normal distributions are equal.
II. The standard normal distribution approaches the Student’s t distribution as the degrees of freedom becomes large.
A. I only
B. II only
C. Both I and II
D. Neither I nor II

Answer & Explanation

estenutC

estenutC

Skilled2020-10-26Added 81 answers

Given information
In the question we are given with the following two statements:
Statement 1: "The means of the Student’s t and standard normal distributions are equal."
Statement 2: "The standard normal distribution approaches the Student’s t distribution as the degrees of freedom becomes large."
and we have to check whether they are true or not.
The probability density function (pdf) of standard normal distribution is:
fX(x)=12πexp{x22}dx
where X is a random variable following Standard Normal distribution.And, standard normal distribution have mean as 0 and variance as 1.
XN(0,1)
The probability density function of students

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