The Matchless Match company claims that their boxes of matches contain 50 matches on average. The company operates a monitoring policy in which samples of 41 boxes are taken periodically to see if their claim is justified. The 41 samples are contained in the data below.

y 48 47 49 49 47 49 48 49 49 50 51 48 49 48 51 50 50 53 49 51 48 47 49 48 50 51 48 52 51 47 50 49 53 49 48 51 51 51 49 49 46

Q - generate regression using R-studio or stata, and find manually by paper a 99% confidence interval estimate for the mean number of matches per box