Hydrochemical data consisted of all major cations and anions have been studied statistically to establish a relationship between the means and variances of the population of aquifers and to enhance the reliability and validity. T-test and F-test (Davis, 1986) were performed manually and by computer modelling to compare the equality of the means and variances of the chemically analysed data. In both tests, the null hypotheses of equal means and equal variances were accepted. It is therefore categorically stated that samples drawn from the area/sectors of Islamabad have the same mean and variance and are chemically identical. This is to be mentioned here that these samples represent the water table depth (top of the aquifer). A computer program is developed in C++ to calculate the statistical parameters much faster and efficiently with great accuracy. It determines and compares the calculated and tabulated values deduced either from T-test or F-test. Validity of the laboratory results is increased if the hypothesis is accepted.
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