BAG # 1 (yours) 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 TOTALS FOR EACH COLUMN Mean SD GREEN 8 16 18 9 11 14 11 4 7 9 20 10 12 17 12 15 13 8 16 17 313 13 11 13 15 14 12.52 3.7429 ORANGE 15 14 10 6 11 9 10 5 12 14 18 10 17 11 10 11 9 14 13 11 10 9 13 10 14 286 11.44 2.9676 PURPLE 7 13 10 11 7 11 15 7 8 9 13 5 15 13 5 15 14 15 11 11 6 8 12 10 9 260 10.4 3.1623 RED 11 8 10 15 22 13 10 10 14 11 13 13 14 11 17 16 8 12 5 8 12 16 14 10 11 304 12.16 3.4488 YELLOW 13 7 9 18 7 10 14 11 13 10 10 13 8 12 10 11 12 13 10 13 11 14 6 11 12 278 11.12 2.5662 TOTAL 54 58 57 57 59 58 60 57 56 53 58 58 56 59 56 59 60 58 59 60 57 56 58 57 61 1441 Mean 10.8 11.6 11.4 11.8 11.6 11.4 12 10.6 11.4 11.2 11.6 11.6 11.2 11.8 11.8 11.6 11.4 12.2 11.8 12 11.4 11.2 11.6 11.2 12 SD 2.9933 3.4986 3.3226 4.2615 5.4991 1.8547 2.0976 5.1614 2.1541 1.7205 4.5869 3.9799 3.3106 2.7857 2.9257 3.8781 2.5768 2.2271 3.9699 2.9665 1.0198 3.5440 2.8705 1.9391 1.8974 4. Now assume the number of Skittles per bag is NORMALLY distributed with a population mean and standard deviation equal to the sample mean and standard deviation for the number of Skittles per bag in part I. a. What proportion of bags of Skittles contains between 55 and 58 candies? b. How many Skittles are in a bag that represents the 75th percentile? c. A Costco. box contains 42 bags of Skittles. What is the probability that a Costco. box has a mean number of candies per bag greater than 587
