Problem: Finding the Mean and Variance! 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. STEPS Step 1: Solve the Mean of the population (u). Step 2: Calculate the 2 variance o of the population. Step 3: Determine the possible samples of size 3. Step 4: List all possible samples and their corresponding means. 14 SOLUTIONS Step 5: Construct the sampling distribution of the sample means. Step 6: Solve for the mean of the sampling distribution using the formula: ( x ) = [X* P(X)] Step 7: Calculate the variance (6X) of the sampling distribution of the sample means. The variance of the sampling distribution of the sample means is given by: 8 = P(X) * (X-1) Step 8: Construct the histogram.