This adjustment is called degrees of freedom (df), which is the sample size \((n) - 1\) The student's t-distribution is adjusted for the uncertainty from smaller samples. The size of the rejection region is decided by the significance level (\(\alpha\)). The rejection region is an area of probability in the tails of the standard normal distribution.īecause the claim is that the population mean is more than 55, the rejection region is in the right tail: This critical T-value (CV) defines the rejection region for the test. The Critical Value Approachįor the critical value approach we need to find the critical value (CV) of the significance level (\(\alpha\)).įor a population mean test, the critical value (CV) is a T-value from a student's t-distribution. Note: The two approaches are only different in how they present the conclusion. Stat Reference Stat Z-Table Stat T-Table Stat Hypothesis Testing Proportion (Left Tailed) Stat Hypothesis Testing Proportion (Two Tailed) Stat Hypothesis Testing Mean (Left Tailed) Stat Hypothesis Testing Mean (Two Tailed)
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