The weight of cereal boxes are normally distributed with a mean of 20 oz and a standard deviation of 0.07 oz. A shipping case contains 3,000 boxes. The company considers an acceptable weight to be between two standard deviations from the mean. a. Draw the normal curve for this scenario. Include all relevant data. b. What percent of boxes weigh between 19.86 oz and 20.14 oz?

c. What percent of boxes weight between 19.93 oz and 20 oz? d. What percent of boxes weigh more than 20.21 oz? e. How many boxes in a shipment will be outside the acceptable 95% weight range? f. Give the weight range of the boxes that are within one standard deviation of the mean volume. g. If a random box if found to have 20.05 oz, find its z-score and percentile. h. If a random box is found to have 19.8 oz, find its z-score and percentile. i. What percentage of boxes lie at or below 20.03 oz? j. In part h, would you say 19.8 oz acceptable weight? Why or why not?