Comparison of p-value results between one versus two sample t testing: A case study

Abstract

The one-sample t test compares a sample to a known average. The standard deviation (SD) is known for the sample but not for the known average. This study compares p-values from one-sample versus two-sample t testing where SD is also known with the known average to see if the lack of information on SD makes a difference in p-values calculated with versus without the SD. Having confidence in a t test p-value is to have confidence in whether the difference in means happened by chance or not.