T Test Vs Z Test Statistics. A t test is appropriate when you are handling small samples n 30 while a z test is appropriate when you are handling moderate to large samples n 30. A t test is used for testing the mean of one population against a standard or comparing the means of two populations if you do not know the populations standard deviation and when you have a limited sample n 30.
So there s two major scenarios that we will see in an introductory statistics class one is when we are dealing with proportions so i ll write that on the left side right over here. The difference between t test and z test can be drawn clearly on the following grounds. Z test is a statistical hypothesis test that follows a normal distribution while t test follows a student s t distribution.
The difference between t test and z test can be drawn clearly on the following grounds.
The sample follows the gaussian distribution. 9 votes see 3 more replies. Z test is a statistical hypothesis test that follows a normal distribution while t test follows a student s t distribution. One of the more confusing things when beginning to study stats is the variety of available test statistics.