Assuming the population variances are known, the population variance of the difference between two means is zero. The sum of the two population variances.
Why do we calculate population variance?
In statistics, population variance is a crucial indicator of dispersion. further reading. To identify how certain values in a data collection relate to one another, statisticians calculate variance. One may compute the dispersion relative to the population means while computing the population variance. To evaluate if there is a statistically significant difference between the means of two variables, a t-test is an inferential statistic that is utilized. A statistical test for assessing hypotheses is the t-test.
Population variance is a metric for gauging how dispersed a set of data points is. It calculates the typical squared deviation from the mean. Therefore, the variance will be smaller if all of the data points are near to the mean than it will be if the data points are dispersed widely.
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