A school counselor tests the level of depression in fourth graders in a particular class of 20 students. The counselor wants to know whether the kind of students in this class differs from that of fourth graders in general at her school. On the test, a score of 10 indicates severe depression, while a score of 0 indicates no depression. From reports, she is able to find out about past testing. Fourth graders at her school usually score 5 on the scale, but the variation is not known. Her sample of 20 fiftsh graders has a mean depression score of 4.4.

The counselor calculates the unbiased estimate of the population's variance to be 15.
What is the variance of the distribution of means?
15/20 = 0.75
15/19 = 0.79
152/20 = 11.25
152/19 = 11.84

To find the variance of the distribution of means, you need to use the formula for the variance of a sample mean.

The formula for the variance of a sample mean is given by the formula:

variance of the distribution of means = population variance / sample size

Given that the unbiased estimate of the population variance is 15 and the sample size is 20, you can substitute these values into the formula:

variance of the distribution of means = 15 / 20 = 0.75

So the correct answer is 0.75.