An
educational researcher sought to determine the average number of
friends that student on a particular college campus made during
their first year of school. Questioning a random sample of 50
students completing their freshmen year, he finds a sample mean of
3 friends and a standard deviation of 1. Separately, construct a
95% confidence interval and a 99% confidence interval to estimate
the mean number of friends made by the population of college
students during their first year on campus.