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One Sample T-test in AP Statistics

A one-sample t-test uses a sample mean and sample standard deviation to test a claim about one population mean.

Verified for the 2027 AP Statistics examLast updated August 2026

What is One Sample T-test?

A one-sample t-test uses a sample mean and sample standard deviation to test a claim about one population mean.

In AP Statistics, this term belongs to 4.4 Setting Up a Test for a Population Mean or Population Mean Difference and 4.5 Carrying Out a Test for a Population Mean or Population Mean Difference. Use the notation and conditions attached to the procedure or model, then interpret the result in context.

Why One Sample T-test matters in AP® Statistics

One-Sample t-Test supports Unit 4: Inference for Quantitative Data: Means. The relevant CED learning objectives cover identify the null and alternative hypotheses for a population mean or population mean difference with unknown σ; justify the appropriateness of a hypothesis test for a population mean or population mean difference by verifying conditions.

How One Sample T-test connects across the course

4.4 Setting Up a Test for a Population Mean or Population Mean Difference

One-Sample t-Test is used in this topic. Connect the definition to the topic's calculations and interpretations in context.

4.5 Carrying Out a Test for a Population Mean or Population Mean Difference

One-Sample t-Test is used in this topic. Connect the definition to the topic's calculations and interpretations in context.

Is One Sample T-test on the AP® Statistics exam?

An AP question can ask you to select, check, calculate, and interpret a t-procedure for means. Name the concept precisely, show the relevant calculation when needed, and state the conclusion in the problem's context.

Key things to remember about One Sample T-test

  • A one-sample t-test uses a sample mean and sample standard deviation to test a claim about one population mean.

  • One-Sample t-Test is mapped to 4.4 Setting Up a Test for a Population Mean or Population Mean Difference and 4.5 Carrying Out a Test for a Population Mean or Population Mean Difference in the current AP Statistics course.

  • On an AP question, use One-Sample t-Test as part of a complete calculation or interpretation, not as an isolated label.

Frequently asked questions about One Sample T-test

What is One-Sample t-Test in AP Statistics?

A one-sample t-test uses a sample mean and sample standard deviation to test a claim about one population mean.

Which AP Stats unit covers One-Sample t-Test?

One-Sample t-Test appears in Unit 4: Inference for Quantitative Data: Means, especially 4.4 Setting Up a Test for a Population Mean or Population Mean Difference and 4.5 Carrying Out a Test for a Population Mean or Population Mean Difference.

How does One-Sample t-Test appear on the AP exam?

An AP question can ask you to select, check, calculate, and interpret a t-procedure for means. Name the concept precisely, show the relevant calculation when needed, and state the conclusion in the problem's context.

Is One-Sample t-Test only a vocabulary term?

No. Be ready to use it in a calculation, identify it in a setup, or interpret what it means in context.

One-Sample t-Test | AP Stats Definition | Fiveable