Background: Most light water nuclear reactors in the United States operate with low-enriched uranium (LEU) as a fuel. The fuel comes in the form of pellets, each containing a certain percent enrichment of uranium. The industry standard for LEU is 3% enrichment because reactions are difcult to maintain below thatlevel. Part A: An enrichment company claims that their pellets exceed 3% enrichment. An analysis of their pellets (sample size = 9) reveals an average enrichment level of 3.12% and a sample standard deviation of 0.17%. Is there evidence to support the company' 5 claim at the 5% signicance level? For purposes of simplicity, assume that the enrichment level is distributed normally. 1) Use the hypothesis testing procedure outlined in class 2) Create both a condence interval and find a p-value; compare results and comment on whether the results validate each other or are contradictory 3) Justify all assumptions being used. 4) Provide a sketch that supports the conclusions being drawn. Part B: Assume that that your conclusion was actually incorrect. Did you commit a Type I or Type II error? What steps could you take to reduce the chances of making a similar error In future testing? What downsides might taking those steps have? Part C: An important assumption in your hypothesis test for this situation is that the enrichment level is normally distributed. Will the testing procedure you used in Part A still work if this is not true? Explain why or why not. What would you change about Part A to ensure that the testing procedure will still work even if the enrichment level Is up}; normally distributed