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In the two-sample pooled t-test the pooled variance is computed by averaging the two individual sample variances. The assumptions for the two-sample pooled t-test for the difference in two means are that there are random samples from two independent normal populations with common but unknown variance.
We can also use either Excelâs t-Test: Paired Two Sample for Means data analysis tool or the T Test and Non-parametric Equivalents supplemental data analysis tool to get the same result.The output from the Excel data analysis tool is shown in Figure 4.igure 7 â Comparison of paired and independent sample t tests. Note that the mean differences are the same, but the standard deviation for the paired sample case is lower, which results in a higher t-stat and a lower p-value.