Class total Mean Std Dev All colors 1691 56.367 2.205 brown 227 7.567 2.528 yellow 274 9.133 3.589 Red 214 7.133 2.886 orange 345 11.5 2.701 Green 280 9.333 3.986 blue 351 11.7 3.323 Using the data Above, Answer the following questions 1. Using the data from the entire class M&M's, calculate the following confidence intervals with a 95% confidence a. The mean number of M&M's in a bag b. The mean number of Brown M&M's in a bag c. The mean number of Blue M&M's in a bag 2. Assuming you want to be 99% confident and within +/- 1 M&M a. Based on the results from the entire class, how large of a sample (how many bags) would you need to determine the number of blue M&M's in a bag? b. In a class with 15 students (each student with one bag), is that sufficient to achieve this margin of error