follow The instructions

A population consists of the values (1, 2, 3, 4, 5). Consider samples of size 3 that can in drawn from this population. a. List down all the possible samples and corresponding sample mean Sample Sample Means b. Construct the sampling distribution of the sample means. Sample Means Frequency Probability P(x) c. Draw a histogram of the sampling distribution of the sample mean Lesson 4: Mean and Variance of the Sampling Distribution of the Sample Mean Directions: Read and analyze each item carefully. Choose the letter of the best answer. Write the chosen letter on a separate sheet of paper. For numbers 1-5, please refer to the problem below. A population consists of five (5) measurements 4, 3, 9. 6, and B. 1. What is the mean of the population? a. 3.44 C. 5.20 b. 4.92 d. 6.00 2. What is the variance of the population? a. 3.44 c. 5.20 b. 4.92 d. 6.00 3. How many different samples of size n = 2 can be drawn from the population? a. 7 c. 9 b. 8 d. 10 4. What is the mean of the sampling distribution of the sample means? a. 3.44 c. 5.20 b. 4.92 d. 6.00 5. What is the variance of the sampling distribution of the sample means? a. 0.93 c. 2.24 b. 1.95 d. 3.96