Question

What is the pooled variance for the following two samples? Sample 1: n = 8 and ss = 168; Sample 2: n = 6 and ss = 120.

1) 7
2) Square root of 7
3) 20.57
4) 24

Answer 1

The pooled variance for the two given samples is 24.

Step-by-step explanation:

The pooled variance for the given two samples can be calculated by first calculating the mean of the sample variances. The mean of the sample variances is equal to their sum divided by the number of samples.

For Sample 1: n = 8 and ss = 168, the variance is calculated as 168/7 = 24.

For Sample 2: n = 6 and ss = 120, the variance is calculated as 120/5 = 24.

The pooled variance is then calculated by taking the average of the two variances, which is (24 + 24)/2 = 24.