Inference on the mean of a population, variance unknown: (a) Measurements on the percentage of enrichment of 12 fuel rods used in a nuclear re- actor were reported as follows: 3-11 2.33 3.03 3-01 .. 4 2.36 3.04 3.09 3.03 2.39 3.12 2.93 i. Test the hypothesis Ha : ,u- = 2.95 versus H1 : ,u- % 2.95 and draw appropriate conclusions. Use the P-value approach. Explain your choice of an o-level. What would be a good (.1- level when dealing with nuclear fuel rods. ii. Find a 99% two-sided CI on the mean percentage of enrichment. Are you com- fortable with the statement that the mean percentage of enrichment is 2.95%? Why