Performance Task #4 A. For the following problems, (a) find the mean, variance, and standard deviation of the population; (b) construct the sampling distribution of sample means; (c) find and interpret the mean, variance, and standard deviation of the sampling distribution of sample means using H=xx P(x), =x(x-H) P(x) or a = E(X2)-, and respectively; and (d) find the mean, variance, and standard deviation of the sampling distribution of sample means using the mean, variance, and standard deviation of the population. Round your answers in two decimal places. 1. The number of DVDs rented by each of four families in the past month is 8, 4, 16, and 2. a. Use a sample size of 2 without replacement. b. Use a sample size of 2 with replacement. B. Find and interpret the mean, variance, and standard deviation of the sampling distribution of sample means. Round your answers in two decimal places. 1. The mean age of employees at a large corporation is 47.2 years with a standard deviation of 3.6 years. Random samples of size 36 are drawn from this population and the mean of each sample is determined. 2. In a sample of 900 gas stations, the mean price of regular gasoline at the pump was P54.04 per liter and the standard deviation is P0.42 per liter. From this population, a random sample is drawn of size a. 30. b. 55.