AP®︎ Statistics (pre-2026): Topic 7.3 Flashcards

Master key terms and definitions for Topic 7.3 of AP Statistics (pre-2026) – Justifying a Claim About a Population Mean Based on a Confidence Interval 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This course has been archived.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

Correct Contextual Interpretation of a Confidence Interval

Definition

State the confidence level, parameter, population, and that the interval came from a sample.

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Correct Contextual Interpretation of a Confidence Interval
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State the confidence level, parameter, population, and that the interval came from a sample.

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Matched Pairs Mean Difference Confidence Interval
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An interval estimating the population mean of pairwise differences from dependent observations.

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Confidence Level and Confidence Interval Width
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Higher confidence levels produce wider intervals for the same sample data.

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Margin of Error for a Mean
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The distance from the sample mean to either endpoint, equal to critical value times standard error.

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Standard Error for a Mean
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The estimated spread of sample means, calculated as s divided by the square root of n.

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t Critical Value for a Mean Interval
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The cutoff from the t distribution based on confidence level and degrees of freedom.

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Degrees of Freedom for One-Sample t Procedures
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For one sample mean, the value is n minus 1.

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One-Sample t Interval Formula
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Sample mean plus or minus t star times s over square root of n.

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Interpreting a Confidence Interval for a Population Mean
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We are C% confident this sample-based interval captures the true population mean.

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Using a Confidence Interval to Evaluate a Claim About a Population Mean
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A claimed mean is supported if inside the interval and not supported if outside.

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Sample Size and Confidence Interval Width
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For one mean, larger samples give narrower intervals because width is proportional to 1/√n.

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