We use confidence intervals to determine the degree of certainty that the sample group accurately represents the entire population.
A Paired T Distribution, Paired T-Test, Paired Comparison test, and Paired Sample Test compares the mean & standard deviation of two groups.
One Sample T Hypothesis Test (Student’s T Test) are used to resolve hypothesis tests around comparing process means ( sample size to be <30)
The F-distribution, also known Fisher-Snedecor distribution, is used to test for equality of variances from two normal populations.
A Chi-Square goodness of fit test tells how well a categorical (nominal or ordinal) sample distribution fit into a hypothetical distribution.