11. A machine makes rivets that are used in the manufacture of airplanes. To be acceptable, the length of a rivet must be between 0.9 centimeter and 1.1 centimeters. The mean length of a rivet is 1.0 centimeter, with a standard deviation of 0.05 centimeter. What is the maximum possible percentage of rivets that are unacceptable? Show or describe how you obtained your answer. https://docs.google.com/forms/d/1QbZJktSVpOLCZeuvVuAA7hCO-wRI65AIFnSECOYEDfU/edit 6/9 10/19/22, 5:46 PM Applied Statistics - Test 2 12. This question has several parts. A utility company determined the average number of days between a bill was sent out and when the payment was made is 32 with a standard deviation of 7 days. The data is approximately bell-shaped. Part A) Between what two values will approximately 68% of the the number of days be? Part B) Estimate the percentage of customer accounts for which the number of days is between 18 and 46. Part C) Estimate the percentage of customer accounts for which the number of days is between 11 and 53. Part D) Estimate the percentage of bills for which the number of days between when a bill was sent and when payment was made was greater than 39. Part E) Estimate the percentage of bills for which the number of days between when a bill was sent and when payment was made was between 18 and 32. 13. This question has several parts. A vending machine automatically pours drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6 ounces and with standard deviation of 0.4 ounces. Part A) Estimate the probability that the machine will not overflow an 8 oz cup. Part B) Estimate the probability that the machine will overflow an 8 oz. cup. Part C) The machine has just been loaded with 850 cups. How many of these do you expect will overflow when served