please do it by R codes

2.32. The diameter of a ball bearing was measured by 12 inspectors, each using two different kinds of calipers. The results were (a) Is there a significant difference between the means of the population of measurements from which the two samples were selected? Use =0.05. (b) Find the P-value for the test in part (a). (c) Construct a 95 percent confidence interval on the difference in mean diameter measurements for the two types of calipers. Create and report an appropriate "design" for this (paired) experiment. The design needs to incorporate how caliper was randomized and how run order is randomized. For this problem, assume that a "run" corresponds to an inspector taking two measurements; one using Caliper 1 and one using Caliper 2