a2 To Do Assignments... LT YT Name: _ Worksheet 3: Sampling Distributions A class has 6 students. We label them as a, b, 4 , and f. For a test, their scores are shown in the following table: Problem 1. (2 points) Find the mean, #, and population standard deviation, o, of the test scores for this class. Problem 2. (2 points) Find the prol sability distribution of the te of the probability distribution, st scores and then find the mean Problem 3. (2 points) To do a rese: ojec randomly select three students from this class. List S an test score for each sample. Name: Problem 4. (2 points) Using Problem 4, calculate the mean, i, tion, oz, of the mean scores of all possible samples. ; and population standard devia- Problem 5. (2 points) Find the probability distribution of the mean test scores for the samples you obtained in Problem 4, and then find the mean of this probability distribution. This probability distribution is a called a sampling distribution. m == Q Search % | a @ c ; : ? : ~ NG 2 x i3