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Hypothesis Test for a Mean — One-Sample t-Test

t = (x̄ − μ₀) / (s/√n). Compare |t| to t* (or p-value to α). Reject H₀ if p-value < α.

StatisticsCommon Core VAR-6.EINFVerified correct ✓

Worked examples

A sample of n = 16 gives x̄ = 84.5 and s = 10. The null hypothesis is H₀: μ = 77. Compute the t-test statistic.
Answer: 3
A sample of n = 64 gives x̄ = 82.88 and s = 10. The null hypothesis is H₀: μ = 86. Compute the t-test statistic.
Answer: -2.496

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