One sample has s² = 12,and a second sample has s² = 15.The pooled variance for these two samples will be between 12 and 15.

Question

Quizplus · Accepted Answer

The pooled variance is calculated by taking a weighted average of the two sample variances, where the weights are based on the sample sizes. Therefore, the pooled variance will always be between the two sample variances. In this case, since 12 is smaller than 15, the pooled variance must fall between these two values. Therefore, the statement is true.

One Sample Has S² = 12,and a Second Sample Has