Which of the following statements correctly describes the relation between a $$\(t\)$$-distribution and a standard normal distribution?

A.
The standard normal distribution is centered at zero, whereas the \(t\)-distribution is centered at \((n-1)\).
B.
As the sample size increases, the difference between the \(t\)-distribution and the standard normal distribution increases.
C.
The standard normal is just another name for the \(t\)-distribution.
D.
The standard normal distribution has a larger standard deviation than the \(t\)-distribution.
E.
The \(t\)-distribution has a larger standard deviation than the standard normal distribution.
Statistics
AP
College Board
Exam No:AP Statistics Problem Set 11 Year:2024 Question No:13

Answer:

E

Knowledge points:

1.10 The Normal Distribution
5.7 Sampling Distributions for Sample Means
7.2 Constructing a Confidence Interval for a Population Mean

Solution:

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