Facebook provides a variety of statistics on its website that detail the growth and popularity of the site. One such statistic is that the average user has 126 friends. A colleague of mine at Purdue University selected an SRS of 30 Facebook users and recorded the number of friends for each one. The 30 values are stored in the Minitab data file Facebook Friends. MTW. Open this data set. (a) Are students at Purdue consistent with the rest of the Facebook population? Perform a two-sided test of whether µ = 126. Carefully state your conclusion (in context please). (b) Your output in Part (a) will include a confidence interval. How might you use this confidence interval to perform a two-sided test of whether µ = 126? Is your conclusion consistent with your answer in Part (a)? (c) Check the normality condition with a histogram and an NPP.