2006•Journal of College Teaching & Learning (TLC)Open access

Testing The Mean For Business Data: Should One Use The Z-Test, T-Test, F-Test, The Chi-Square Test, Or The P-Value Method?

Jiajuan Liang, William Pan

Abstract

In testing the mean of a population or comparing the means from two populations. There are several statistics available: the t-test, z-test, F-test and the chi-square test. Both the t-test and the z-test are usually used for continuous populations, and the chi-square test is used for categorical data. The F-test is used for comparing more than two means. In this paper we will discuss: 1) the conditions on using these tests; 2) the relationship among these test; and 3) illustration of the p-values of these tests by graphs. Some concluding remarks will be provided.

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Key concepts: Test (biology), Chi-square test, Statistics, Categorical variable, Mathematics, F-test, Pearson's chi-squared test, Z-test