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T-tests
Common Core: S.IC.5

T-tests

Author: Ryan Backman
Description:

This lesson will introduce the t-distribution and t-tests.

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Tutorial

Additional Practice Problems

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Terms to Know
t-distribution/Student's t-distribution

A family of distributions that are centered at zero and symmetric like the standard normal distribution, but heavier in the tails. If the sample size is large, the t-distribution approximates the normal distribution.

t-test for population means

A hypothesis test for a mean where the population standard deviation is unknown. Due to the increased variability in using the sample standard deviation instead of the population standard deviation, the t-distribution is used in place of the z-distribution.

Formulas to Know
t-statistic

t space equals space fraction numerator x with bar on top space minus space mu over denominator begin display style bevelled fraction numerator s over denominator square root of n end fraction end style end fraction