Please show all work in R programming. Thank you and I will upvote.

5) (EXTRA CREDIT). Using R, take 100 random samples, each of size 25, from N (15,0.95). For each random sample, compute a 95% condence interval on your estimate of mean. For each condence interval, indicate whether -15 falls inside of the interval. How many would intervals would you expect to not contain -15 and why? Is your answer consistent with that expectation? Speculate on why or why not. In your answer, supply a table with 100 rows (one for each random sample), with each row showing (1) the sample mean, (2) the standard deviation of the sample, (3) the lower bound of the condence interval, (4) the upper bound of the confidence interval, and (5) whether -15 falls within that interval. (There should be 5 columns and 100 rows, not including the headers.)