A machine is filling bags of potato chips. The weight of the bags is normally distributed and the
mean weight of chips is 12 ounces with a standard deviation of 0.07 ounces. If you produce
bags that average less than 12 ounces, you can be accused of underfilling the bags.
1. One bag is pulled off the production line to test. What is the probability of the bag
weighing 11.95 ounces if the real average weights are 12 ounces? Are you
concerned that the machine is underfilling the bags? Support your answer with
calculations and explanations.
2. An inspector pulls 10 bags off the line to test. The average weight of the 10
bags is 11.95 ounces. What is the probability of getting a sample like this if
the machine was really putting 12 ounces in the bags? Are you concerned
that the machine is underfilling the bags? Support your answer with
calculations and explanations.