The best way to reduce the variances in the distributions of means when conducting a t test for independent means is to
A)increase the size of the samples.
B)raise the study's level of significance.
C)use the true population variance.
D)treat the two samples as one sample.

Question

Quizplus · Accepted Answer

Increasing the size of the samples will reduce the variances in the distributions of means because a larger sample size will provide a more accurate representation of the population, leading to a smaller standard error and a more narrow distribution of means. This will also increase the power of the t test, allowing for a more precise estimation of the population means. Using the true population variance is not feasible in most cases as it is rarely known. Treating the two samples as one sample would not be appropriate as they are independent, and raising the level of significance would not directly reduce variances but rather increase the likelihood of Type I error.

The Best Way to Reduce the Variances in the Distributions