J 1) (35 points) The number of square feet of coverage that you get from a gallon of paint is normally distributed with a. mean of 380 square feet and a standard deviation of 30 square feet. A sample of 15 gallons of paint is to be randomly selected. Consider the set of all possible samples of 15 gallons of paint, what is the mean and standard deviation for the population of all possible sample means? my}: C) Explain how we know that the average of a sample of 15 randomly selected gallons 0f paint is normally distributed. D) What is the probability that for a sample of 15 randomly selected gallons of paint the average number of square feet of coverage is 400 square feet or more? P(E> 400) =