In: Statistics and Probability
At Jen and Perry Ice Cream Company, the machine that fills one-pound cartons of Top Flavor ice cream is set to dispense 16 ounces of ice cream in every carton. However, some cartons contain slightly less than and some slightly more than 16 ounces of ice cream. The amounts of ice cream in all such cartons have a normal distribution with a mean of 16 ounces and a standard deviation of 0.1 ounces. If a sample of 25 randomly selected cartons are selected find the probability that the mean amount of ice cream in these 25 cartons is between 16.025 and 16.045 ounces.