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AP Statistics 4.2 A Describe T Distributions Questions

Practise describing t-distributions by comparing their symmetry and tails with the normal model, tracking degrees of freedom, and identifying the correct t-statistic.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • Recognise t-distributions as symmetric and heavier-tailed than the standard normal distribution.
  • Explain how increasing degrees of freedom makes a t-distribution approach the normal model.
  • Use n minus one degrees of freedom when standardising a sample mean with the sample standard deviation.

AP Statistics 4.2 A Describe T Distributions Questions question 1

[Maximum number: 1]

A population is normally distributed with mean 25. Consider all samples of size 10 . The variable xˉ−25s10\frac{\bar{x}-25}{\frac{s}{\sqrt{10}}}

A

has a normal distribution.

B

has a t-distribution with d f=10.

C

has a t-distribution with d f=9.

D

has either a normal or a t-distribution depending on the characteristics of the population standard deviation.

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