Question

Sample A has a mean of M = 6. Sample B has a mean of M = 10. When the two samples are combined, the mean of the combined group is M = 9. Which of the following is the most accurate description for the two sample sizes?

The samples are the same size.

Sample A is much bigger than Sample B.

There is not enough information provided to determine this.

Sample B is much bigger than Sample A.

Answer 1

Sample B is much bigger than Sample A

Explanation:

It is because when seeing sample B alone we can see it has a larger mean than of Sample A. Mean is greater when the values we are using are of bigger value. Since Sample B has bigger values in it so it also a has bigger mean compared to Sample A which has a smaller mean (smaller values in it)