AP®︎ Statistics (pre-2026): Topic 7.4 Flashcards

Master key terms and definitions for Topic 7.4 of AP Statistics (pre-2026) – Setting Up a Test for a Population Mean to help you prep for quizzes and the AP exam.

This course has been archived. The College Board updated AP Statistics for the 2026–27 school year, and the units and topics changed.
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Term

One-Sample t-Test for a Population Mean

Definition

Tests whether a population mean differs from a hypothesized value when σ is unknown.

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One-Sample t-Test for a Population Mean
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Tests whether a population mean differs from a hypothesized value when σ is unknown.

VAR-7.BVAR-7.B.1
Matched Pairs t-Test Setup
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Treat paired data as one sample of differences, then test the mean difference.

VAR-7.BVAR-7.B.2
Null and Alternative Hypotheses for a Mean
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H0: μ = μ0; Ha: μ < μ0, μ > μ0, or μ ≠ μ0.

VAR-7.CVAR-7.C.1
Hypotheses for Matched Pairs
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Use H0: μd = 0 or stated value and Ha about μd after defining differences.

VAR-7.C
Order of Subtraction in Matched Pairs
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Define differences consistently, such as before minus after, so μd has clear meaning.

VAR-7.CVAR-7.C.2
Significance Level
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The probability of rejecting a true null hypothesis; denoted by α.

VAR-7.C
Conditions for a One-Sample t-Test
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Check randomization, independence with the 10% condition, and an approximately normal distribution.

VAR-7.DVAR-7.D.1