Question

Explain the difference between a one-tailed and two-tailed t-test.

How does the t statistic differ from the analysis of variance (e.g. when to use).

How would you use this in your work, personal life, or school life? Create an example.

Answer 1

Two-tailed test Vs One-tailed test

Two-tailed test
A two-tailed test helps you to understand if two means are different from one another. In other words, it checks if the two means are equal or not.
Here the significance level of 0.05(or whatever you specific) is divided and allocated to both directions for testing. This is indicated in the figure below.

One tail test
In the one-tailed test, it helps you to understand if one mean is greater than or less than the other. Hence it checks only in one direction as specified in the hypothesis test.
Here the significance level of 0.05(or whatever you specific) is allocated to only in one direction for testing as indicated in the hypothesis test.
This is indicated in the figure below.