For the following question(s): 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 fifth graders has a mean depression score of 4.4. Use the .01 level of significance. -The counselor calculates the unbiased estimate of the population's variance to be 15. What is the variance of the distribution of means? A)15/20 = 0.75 B)15/19 = 0.79 C)15²/20 = 11.25 D)15²/19 = 11.84

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Quizplus · Accepted Answer

The variance of the distribution of means, also known as the variance of the sampling distribution of the mean, is calculated by dividing the population variance by the sample size (n). Here, the population variance is given as 15, and the sample size is 20. Therefore, the variance of the distribution of means is 15/20 = 0.75.

For the Following Question(s): a School Counselor Tests the Level