AP Statistics t Intervals and t Tests for a Mean Quiz: 10 Questions with Explanations

AP Statistics math quiz: t Intervals and t Tests for a Mean – Maths PDF

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This inference one mean quiz for AP Statistics covers t intervals and t tests for a mean (Common Core AP STAT 7.1, AP STAT 7.2, AP STAT 7.3, AP STAT 7.4, AP STAT 7.5, HSS-IC.B.4), with a free PDF to print.

Ten multiple-choice questions test t critical values, standard errors, and conditions. Read the explanations, especially for questions that involve the Normal condition.

AP Statistics · Common Core State Standards: AP STAT 7.1, AP STAT 7.2, AP STAT 7.3, AP STAT 7.4, AP STAT 7.5, HSS-IC.B.4

Inference one mean quiz: 10 questions

Question 1

The degrees of freedom for a one-sample t procedure with n = 25 are:

Question 2

Right tail.

The shaded area (df = 15) is closest to:

Question 3

A small sample.

A t interval for the mean using this random sample of 10 values is:

Question 4

Normal versus t.

Compared with the normal curve, the t curve has:

Question 5

The standard error of x-bar is estimated by:

Question 6

As the sample size increases, t* for 95% confidence:

Question 7

For matched pairs data, we:

Question 8

A 95% t interval for mu is (10.2, 14.8). Which H0 would be rejected in a two-sided test at alpha = 0.05?

Question 9

The t statistic is t = (x-bar – mu0) / (s/sqrt(n)). If x-bar = 53, mu0 = 50, s = 9, n = 36, then t =

Question 10

A p-value of 0.12 at alpha = 0.05 leads to:

Remember

t distribution: bell-shaped, centered at 0, heavier tails; df = n – 1.
Interval: x-bar +/- t* s/sqrt(n); test: t = (x-bar – mu0)/(s/sqrt(n)).
Conditions: random, 10% condition, and Normal/Large Sample (population normal, n >= 30, or no strong skew or outliers).
As df grows, t* approaches z*.
Matched pairs: take differences and do a one-sample t procedure.

How to use this inference one mean quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

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