Part 1 The question at hand: On average, how many Skittles are in a 2.17 oz. bag? Wrigley's, the maker of Skittles, claims that there is an average of 56 pieces in each 2.17 oz. bag. We will conduct a small study and use our knowledge of confidence intervals from Chapter 16 to determine an interval of reasonable values for the population mean (u). This will approximate the average number of Skittles per bag. 4.) First, we will take a sample. Open a 2.17 oz. bag of Skittles and count the number of Skittles inside. All students will do this, and results from both statistics classes (10:00 and 11:00) will be combined together. Looking at the data for all bags of Skittles on the data sheet provided, we can say that n 40 (1 pt.) 5.) We are interested in the average number of Skittles in each bag. After compiling all of the data, the sample mean number of Skittles is 61 (Round to the nearest whole Skittle.) Please show work for your calculation. 53+116+236 +4204427+ 3/0+504 +320+66 261.37612 (1 pt.) (2 pts.) 40 6.) The population standard deviation is given: 6.509. Calculate the sample standard deviation. Round to two decimal places. Show work for your calculation. (3 pts.) 57323 6.509 40 = 1.03 7.) Choose and calculate one of the following confidence intervals to estimate the average number of Skittles in all bags: 90%, 96%, 98%, 99%, 99.5%, 99.8%, 99.9% a.) Please show each step of your calculation. (8 pts.) Part 1 How many Skittles are in your 2.17 oz. bag? 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 D 53 D D 53 Q 61 J H W E AA HM L J C EE Y T U Q C Q M DD F P H D N G A L NR K Y BB CC E B W V BB S 116 236 420 427 310 504 320 66 2215 Total Number of Skittles 36 bags were counted