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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.e summarize the results from the two analyses as follows: Figure 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.