2 13 points Suppose that 15 bags of Skittles contained on average 36.1 pieces of candy with a standard deviation of 1.9 pieces of candy. For the purposes of this exercise, assume that these bags of Skittles is representative of all bags of Skittles. Does this sample data provide convincing evidence that the average number of Skittles in each bag is not equal to 35? Test the appropriate hypotheses using a .05 significance level. A. [3 points] State the null and alternative hypotheses for the problem. B. [1 point] Which type of test is appropriate for this problem? I. a 1-proportion z-Test II. a t-Test III. a 2-proportion z-Test IV. a 2-sample t-Test C. [3 points] Does this situation satisfy all the assumptions to do the appropriate hypothesis test? Show all work. D. [3 points] Complete the hypothesis test. Show all of your work, or describe steps you took with the calculator. Be sure to include the test statistic, the P-value, and the degrees of freedom (if applicable). E. [3 points] State the conclusion of your hypothesis test