Question

The average amount of a beverage in randomly selected 16-ounce beverage can is 15.8 ounces with a standard deviation of 0.5 ounces. If a random sample of thirty-six 16-ounce beverage cans are selected, what is the probability that the mean of this sample is less than 15.7 ounces of beverage? Answer: (round to 4 decimal places)

Answer 1

The amount X of beverage in a can labeled 12 ounces is normally distributed with mean 12.1 ounces and standard deviation 0.05 ounce. A can is selected at random. a. Find the probability that the can contains at least 12 ounces. b. Find the probability that the can contains between 11.9 and 12.1 ounces.