Please show your code and your work process to me.

Q4: Interval guess with R Please use R to answer the following questions, save your R codes in a txt format (or other similar format), and submit the file to canvas. a) A machine is producing metal pieces that are cylindrical in shape. A sample of pieces is taken randomly and the diameters are 1.011, 0.972, 1.323, 1.042, 0.997, 0.982, 0.993, 1.015, and 1.036 centimeters. Find a 99% C.I. for the population mean diameter of pieces from this machine, assuming a normal distribution. b) A random sample of 20 students obtained scores with a mean of 72 and a variance of 16 on a quiz in statistics. Using a normality assumption, first construct a random interval for o (not o?) with 0.92 confidence level, and then use the result with the given data information to get a 92% C.I. for o