l. A CI is desired for the true average strayload loss 1!! {watts} for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that strayload loss is normally distributed with sample variance = 3 .D. a. Compute a 95% CI for r! when n = 25 and x2 60 . b. Compute a 95% CI for ,u when It 2100 and T = 60 . Compute a 99% CI for ,u when I? 2100 and T' = 60 . d. Compute an 909E: CI for ,u when n 2100 and f: 60 . e. \"That does this imply about sample size and confidence level as pertaining to the length of the intervals. justify your answer? 2. An engineer is doing a study in a manufacturing setting on the lengths of paperclips. The sample he collected is in the dataset paperclipsxls. a. Create a normal probability plot to see if the data is normal b. Find a twosided 90% condence interval for the mean and interpret c. How create an 95% upper bound only and interpret d. Explain why the critical point does not change between parts b and c 3. A product has a target length of 5 inches. Assume that we know from historical data that the population variance is 2. A sample was taken. The sample mean in this case is 5.4 and the sample size is 36. Assume that the distribution of the data is normal. The supervisor wants to know if the target is being met. L'se condence intervals to determine this. 'Nhat would you tell the supervisor? (To get full credit. justify why you chose the confidence interval that you did.)