1. The weight of potato chips in a medium size bag is stated to be 10 ounces. The amount the packaging machine puts in these bags is believed to fit a Normal model with a mean of 10.2 ounces and a standard deviation of 0.12 ounces. a) What fraction of the bags are underweight? b) Some of the chips are sold in "bargain packs" of 3 bags. What is the probability that the mean weight of the 3 bags is below the stated amount? c) What's the probability that the mean weight of a 24-bag case of potato chips is below 10 ounces? 2. Hoping to lure more shoppers downtown, a city builds a new public parking garage. The city plans to pay for the structure through parking fees. During a two-month period (44 week days), daily fees collected averaged $126 with a standard deviation of $15. a) What assumptions must you make before finding a confidence interval? b) Create a 90% confidence interval for the mean daily income this parking garage will generate. c) Interpret your confidence interval in the context of the problem. d) A consultant who advised the city on this project predicted that parking revenues would average $130 per day. Based on your confidence interval, do you think the consultant was correct? Explain