Many students brag that they have more than 100 friends on Facebook. For a class project in 2014, a group of students asked a random sample of 13 students at Williams College who used Facebook about their number of friends and got the following data:
55, 130, 210, 75, 80, 205, 20, 130, 150, 50, 270, 110, 110

Is there strong evidence that the mean number of friends for the student population at Williams who use Facebook is larger than 100? Answer by:
a. Identifying the relevant variable and parameter.
b. Stating null and alternative hypotheses.
c. Finding and interpreting the test statistic value.
d. Reporting and interpreting the P-value and stating the conclusion in context.