WRITTEN WORK 1 Consider a population consisting of 12, 11, 13, 16, 15, 21, and 27. Suppose sample size of 5 are drawn from this population. Construct the sampling distribution of the sample means and find the mean and variance of the sampling distribution of the sample means. ex. 1.54 1.539678 X Frequency P(X) X P(X) X ( ) P(X) (x ) - - - Reminders: 1. Round-off your population mean to the nearest hundredths. 2. Make sure your probability P(X) is in fraction form. 3. Round off your final answer (mean and variance) to the nearest hundredths. Find the mean of the sampling distribution of the sample means. Round off your final answer to the nearest hundredths. (Write the value ONLY) Your answer Find the variance of the sampling distribution of the sample means. Round off your final answer to the nearest hundredths. (Write the value ONLY) Your answer * 10 points * 10 points