June is National Dairy Month, and in honor of that, let’s ex…
June is National Dairy Month, and in honor of that, let’s examine the distribution of a cow’s milk production. Milk production follows a normal distribution with a mean of 6 gallons and a standard deviation of 1.3 gallons per day. 3 pts. a) What amount of milk would a cow need to produce to be in the top 0.5% that makes the most? Now let’s examine the sampling distribution of the average amount of milk produced by a group of cows each day. 2 pts. b) Do we need the Central Limit Theorem to assume normality of the average milk production? Explain. 4 pts. c) Find the probability that 10 cows produce more than an average of 5.75 gallons of milk per day.