--- title: "One-Sample t-Test | AP Stats Definition" description: "A one-sample t-test uses a sample mean and sample standard deviation to test a claim about one population mean." canonical: "https://fiveable.me/ap-stats/key-terms/one-sample-t-test" type: "key-term" subject: "AP Statistics" unit: "Unit 4" --- # One-Sample t-Test | AP Stats Definition ## Definition A one-sample t-test uses a sample mean and sample standard deviation to test a claim about one population mean. ## What It Is A [one-sample t-test](/ap-stats/unit-4/setting-up-test-for-population-mean/study-guide/1gAGgo2P3abc5G0sLvMr "fv-autolink") uses a [sample mean](/ap-stats/key-terms/sample-mean "fv-autolink") and sample standard deviation to test a claim about one population mean. In [AP Statistics](/ap-stats "fv-autolink"), 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 It Matters One-Sample t-Test supports [Unit 4](/ap-stats/unit-4 "fv-autolink"): Inference for Quantitative Data: Means. The relevant CED learning objectives cover identify the [null and alternative hypotheses](/ap-stats/key-terms/null-and-alternative-hypotheses "fv-autolink") 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. ## Connections ### 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. ## 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. ## Key Takeaways - 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. ## FAQs ### What is One-Sample t-Test in AP Statistics? A one-sample t-test uses a sample mean and [sample standard deviation](/ap-stats/key-terms/sample-standard-deviation "fv-autolink") 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](/ap-stats/unit-4/carrying-out-test-for-population-mean/study-guide/MDb6OWdPx2ITRYtOuvxA "fv-autolink"). ### 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. ## Related Study Guides - [4.4 Setting Up a Test for a Population Mean or Population Mean Difference](/ap-stats/unit-4/setting-up-test-for-population-mean/study-guide/1gAGgo2P3abc5G0sLvMr) ## Structured Data ```json {"@context":"https://schema.org","@graph":[{"@type":"LearningResource","@id":"https://fiveable.me/ap-stats/key-terms/one-sample-t-test#resource","name":"One-Sample t-Test | AP Stats Definition","url":"https://fiveable.me/ap-stats/key-terms/one-sample-t-test","learningResourceType":"Concept explainer","educationalLevel":"AP® / High School","about":{"@id":"https://fiveable.me/ap-stats/key-terms/one-sample-t-test#term"},"audience":{"@type":"EducationalAudience","educationalRole":"student"},"dateModified":"2026-08-04T00:38:30.673Z","isPartOf":{"@type":"Collection","name":"AP Statistics Key Terms","url":"https://fiveable.me/ap-stats/key-terms"},"publisher":{"@type":"Organization","name":"Fiveable","url":"https://fiveable.me"}},{"@type":"DefinedTerm","@id":"https://fiveable.me/ap-stats/key-terms/one-sample-t-test#term","name":"One Sample T-test","description":"A one-sample t-test uses a sample mean and sample standard deviation to test a claim about one population mean.","url":"https://fiveable.me/ap-stats/key-terms/one-sample-t-test","inDefinedTermSet":{"@type":"DefinedTermSet","name":"AP Statistics Key Terms","url":"https://fiveable.me/ap-stats/key-terms"}},{"@type":"FAQPage","mainEntity":[{"@type":"Question","name":"What is One-Sample t-Test in AP Statistics?","acceptedAnswer":{"@type":"Answer","text":"A one-sample t-test uses a sample mean and [sample standard deviation](/ap-stats/key-terms/sample-standard-deviation \"fv-autolink\") to test a claim about one population mean."}},{"@type":"Question","name":"Which AP Stats unit covers One-Sample t-Test?","acceptedAnswer":{"@type":"Answer","text":"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](/ap-stats/unit-4/carrying-out-test-for-population-mean/study-guide/MDb6OWdPx2ITRYtOuvxA \"fv-autolink\")."}},{"@type":"Question","name":"How does One-Sample t-Test appear on the AP exam?","acceptedAnswer":{"@type":"Answer","text":"An AP question can ask you to select, check, calculate, and interpret a t-procedure for means. 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