ACTIVITY: 1. If a population consist of the values (3,5,8,9). Consider possible samples of size 2. Find the mean and variance of the sample mean. 2. A population consists of three numbers (3,4,7). Consider all possible samples of size 2 which can be drawn from the population. Find the mean and variance of the sampling distribution of the sample means. 3. A population consist of five numbers 6, 9, 12, 15, and 18. Find the mean and variance of the sample means when sample size is 3.Exercises: A. How many samples of size n = 3 can be selected from a population with the following sizes? 1. N=4 2. N = 8 3. N = 20 4. N = 50 B. Construct the Simple Distribution of the Means for the given problem A population consist of the five numbers 2, 3, 6, 8, and 1 1. Consider the samples of size 2 that can be drawn f this population.ACTIVITY: Solve for the following 1. Compute the mean and standard deviation of the sampling distribution of the sample mean when you plan to have a simple random sampling of size 64 from a population with mean of 44 and standard deviation of 16. 2. Random samples of size 225 are drawn from a population with mean 100 and standard deviation 20. Find the mean and variance of the sample mean. 3. Random samples of size 64 are drawn from a population with mean 32 and standard deviation 5. Find the mean and variance of the sample mean. 4. With the same distribution of young women's height where the mean is 52.5 inches and a standard deviation of 6.25 inches, what will be your new sample mean and standard deviation for a sample size of 100? 5. If a random sample of 81 are taken from a population with a mean (H) of 5.75 and standard deviation of 1.02, then what will be the mean and variance of the sample mean