Statistics

Statistics

The table below outlines the formulas used during hypothesis testing.

Test

Formula

One-sample z-test

Two-sample z-test

One-sample t-test

Paired t-test

Two-sample pooled t- test, equal variances

Chi-squared test for variance

Two-sample F test for equality of variances

Explanation of symbols used in the formulas:

• , the probability of Type I error - rejecting a null hypothesis incorrectly • = sample size • ̅ = sample mean • 0 = hypothesized population mean • = population standard deviation • = sample standard deviation • = degrees of freedom • ̅ = sample mean of differences • 0 =hypothesized population mean difference • 2 = Chi-squared statistic

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