analyze the situation below

Activity 4: Let's Do the Sampling Distribution 40 POINTS Direction: Analyze the situation below and do what is asked. Write your answers in a LONG BOND PAPER. Consider a population consisting the scores of 6 students in a Statistic test. 18, 22, 25, 28, 32, 36 Suppose samples of size 3 are drawn from this population, describe the sampling distribution of the sample means following the steps below: 1. What is the mean of the population? Show your solutions. 2. What is the variance of the population? Fill in the table and show your solutions. 3. Determine the number of possible samples of size 3. Show your solutions, 4. List the possible samples and the corresponding means in a table. 5. Construct a sampling distribution of the sample means. 6. Calculate the mean of the sampling distribution of the sample means. Construct a table to show your answer using the formula: u = > x p( x). 7. Calculate the variance of the sampling distribution of the sample means. Construct a table to show your answer by using the formula: 5" = Ep(x ).( x-y) 8. Draw the histogram of the sampling distribution of the sample means