3. Suppose cholesterol levels in diabetics, Y, can be modeled by a normal distribution with an unknown population mean u and unknown population standard deviation (5. To infer about the population, mean u, a random sample of 64 diabetics was examined. The sample mean observed level was 37 = 173.2 and the sample standard deviation was s=30. A. Test H0: ,u = 180 vs Test HA: ,u at 180 at the signicance level a = 0.1. i. What is the p-value of the test? ii. What conclusion do you draw from the results of the test? B. If the cholesterol level were not normally distributed, could you still calculate the p- value, CI for