Assuming the population variances are known,the population variance of the difference between two means is ________.
A)the sum of the two means
B)the sum of the two population variances
C)the sum of the two population standard deviations
D)the sum of the two sample sizes for each population

Question

Quizplus · Accepted Answer

The formula to calculate the variance of the difference between two means is Variance of Difference = Variance of Sample 1 / Sample Size 1 + Variance of Sample 2 / Sample Size 2. Since the population variances are known, we can use the population variances instead of the sample variances. Therefore, the population variance of the difference between two means is the sum of the two population variances.

Assuming the Population Variances Are Known,the Population Variance of the Difference