Please help me with this statistics question and all of its parts

A company that manufactures coffee selects 10 samples of coffee every hour from its production line and determines the caffeine content. Assume the caffeine content (measured in milligrams, mg) is known to have a normal distribution. During a one-hour period, the 10 samples yielded a mean caffeine content of x = 112 mg with a sample standard deviation s=8.3 mg. a. Calculate a 95% confidence interval for the average caffeine content u of the coffee produced during the hour in which the 10 samples were selected. O (106.06, 117.94) O (109.94, 114.06) (107.19, 116.81) (111.35, 112.65) (103.47, 120.53) b. Suppose the company constructs 540 confidence intervals for the average caffeine content u each month. Assume the company uses a 95% confidence level to construct each of the 540 confidence intervals. How many of the confidence intervals would you expect would not contain the true average caffeine content ? Please round your answer to the nearest integer. c. What would happen to the width of the confidence interval if the confidence level were increased from 95% to 99%