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Hypothesis Tests Concerning the Mean
Test Statistic for Hypothesis Tests of the Population Mean. H0: μ = μ0
The t-Test. If the population sampled has unknown variance and either:
1 the sample is large, or
2 the sample is small but the population sampled is normally distributed, or approximately normally distributed,
then the test statistic for hypothesis tests concerning a single population mean, μ, is
2 If the population sampled has unknown variance and the sample is large, in place of a t-test, an alternative test statistic (relying on the central limit theorem) is
Distribution of the Sample Mean:[Practicewhen the sample size is large.
Confidence Intervals for the Population Mean:error,A confidence:Unknown.normal.Population Variance Unknown—t-Distribution.of freedom for tα2 is n − 1
Hypothesis Tests Concerning Differences between Means:normally distributed:[PracticeB.C.comparisons test is appropriate.
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