A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with standard deviation 0.001 millimeters. A random sample of 35 rings has a mean diameter of 74.036 millimeters. a. Construct a 99% two sided confidence interval on the mean piston ring diameter. b. How many piston rings would have to be measured for the manufacturer to be 95% confident that the mean diameter from the sample is between 74.0359 to 74.0361 of true population mean (upload the picture of solution and roundoff your final answer into 5 decimal places) Use the editor to format your