ABSTRACT

The one-sample t-test is applied to test for a population mean. It compares the mean score of a sample (x ) to an unknown value (m0). The unknown value is a population mean. That is,

9.1.1.2 TEST STATISTIC

It is given by

9.1.1.3 SAMPLE SIZE

The optimum sample size is determined by

n = ( ) ( )0

- where Za = 1.96 and Zb = 0.84

Example: Let us assume that the improvement scores of a group of five patients in a test are given by 7, 4, 1, 3, and 5. We wish to test whether the mean score of the whole class can be considered as 5.0. That is,

Since the calculated value is less than the table value of t(4) = 2.78 at 5 percent level of significance, we accept the null hypothesis (P > 0.05, not significant).