Problem: An educational researcher sought to estimate the average number of close friends that students on a particular campus made during their first year of school. Questioning a random sample of 27 students completing their freshman year, she finds that a sample mean of 5 close friends and a sample standard deviation of 2.
Required:
Question: Construct a 95% confidence interval to estimate the mean number of close friends made by the population of college students during their first year on campus. Please show steps how you get an answer and please be clear in your explanation.