Learning Task 2: Solve the problem below. Consider all samples of size of 5 from this population: 2, 5, 7, 9, 10, 11, 12 a. Compute the population mean. b. Compute the population variance. c. Compute the population standard deviation. d. Compute the mean of the sampling distribution of the sample means and compare it the mean of the population. e. Compute the variance of the sampling distribution of the sample means. f. Compute the standard deviation of the sampling distribution of the sample means.Independent Practice Solve the following problems. Use the properties of the sampling distribution or sample means. 1. It a population has a mean of 5.7. what is the mean or the sampling distribution at its means? 2. If a population has a variance at 7.4. what is the variance of the sampling distribution at its means? The sampling distribution has a sample size oi 2 and all possible samples are drawn with replacements. 3. li a population has a standard deviation at 3.2. what is the standard deviation ot the sampling distribution or its means? The sampling distribution has a sample size of 4 and all possible samples are drawn with replacements. 4. If a population with size of 4 Ms a variance of 6.8. what is the variance of the sampling distribution of its means? The sampling distribution has a samme size oi 3 and all possible samples are drawn without replacements. 5. It a population with size 3 has a standard deviation of 2.4. what is the standard deviation of the sampling distribution at its means? The sampling distribution has a sample size of 2 ard all possible samples are drawn without replacements