27 28 = 31 20 21 22 - 23 24 25 26 29 30 According to the label, a bag of chips contains 8 ounces of chips. Suppose that the bagging process is normally distributed with a standard deviation of 0.14 ounce. Part 1 of 3 (a) If the machine that does the bagging is set to put 8 ounces of chips in each bag, this would be the mean of the distribution, with standard deviation as mentioned above. What percentage of all bags would have less than the amount stated on the package in this case? 50 % of the bags would have less than the amount stated on the package. Part 2 of 3 (b) Explain why it would be a bad idea for the manufacturer to set the bagging machine at 8 ounces. If the manufacturer sets the bagging machine at 8 ounces, 50 % of all bags will contain less than 8 ounces of chips, so half of all customers will be very unhappy they got less product than they paid for. Part: 2 / 3 Part 3 of 3 (c) If the manager wants there to be greater than a 97% chance that any given bag has at least 8 ounces, and the weight they set their filling machine for provides the mean weight, how should they set the machine? The filling machine should be set for a mean weight of |ounces in each bag. X