A sample of n = 10 scores has a mean of 50.A second sample has n = 5 scores and M = 60.If the two samples are combined,the sample mean for the combined sample will be greater than 55.

Question

A sample of n = 10 scores has a mean of 50.A second sample has n = 5 scores and M = 60.If the two samples are combined,the sample mean for the combined sample will be greater than 55.​

Quizplus · Accepted Answer

To find the combined sample mean, we need to use the formula:

combined mean = (n1 * mean1 + n2 * mean2) / (n1 + n2)

Substituting the given values, we get:

combined mean = (10 * 50 + 5 * 60) / (10 + 5) = 53.33

Since 53.33 is less than 55, the statement "the sample mean for the combined sample will be greater than 55" is false. Hence, the answer is B (False).

A Sample of N = 10 Scores Has a Mean