SKITTLES RAW DATA (you may need to add some rows) BAG# GREEN ORANGE PURPLE RED 1 (yours) YELLOW 10 TOTAL 10 14 11 2 12 57! 12 7 10 14 15 58 w 13 12 6 11 17 59 4 12 10 8 5 11 16 16 9 57 10 6 12 10 16 57 9 17 7 13 6 11 58 11 11 8 12 11 56 13 8 9 9 13 14 16 10 57 10 11 13 12 15 62 15 13 3 11 8 13 59 10 14 14 12 13 59 12 12 12 7 13 14 8 57 10 15 15 14 6 54 13 6 14 19 15 8 5 16 60 18 16 12 8 59 13 8 10 16 17 13 10 11 57 9 14 18 14 61 11 9 13 19 15 10 58 11 12 11 20 8 10 52 14 11 16 10 8 21 11 11 59 12 10 22 8 13 52 9 10 23 13 14 59 15 9 12 24 13 7 56 8 11 g 25 13 13 54 13 12 12 11 26 9 16 58 13 6 27 15 16 11 61 13 6 15 61 28 11 16 10 10 29 12 10 58 9 7 23 9 30 11 59 10 11 12 9 52. 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 75'1' percentile? c. A Costco. box contains 42 bags of Skittles. What is the probability that at Costco. box has a mean number ofcandies per bag greater than 58? . Based on the class sample of candies. what proportion of Skittles candies are red? a. Twenty percent of Skittles are supposed to be red. Did the class data result in an unusual outcome? What does this imply about the claim that 20% of Skittles are red? . Create a 95% condence interval estimate for the mean number of Skittles per bag. Why did you choose the method you used? Interpret your condence interval. . Estimate the percent of red Skittles using the class sample data