Pamela Popular bragged that she had more than 200 friends on Facebook. Lonnie Lonerguy, who also had more than 200 friends on Facebook, wondered what the average number of Facebook friends a typical person had, and took a random sample of 15 people at his house of worship. He suspected, before collecting any data, that the typical person has 300 Facebook friends.

His random sample of 15 people revealed an average of 317 Facebook friends, with a standard deviation of 27.23.

At alpha = 0.01, is there evidence to support an idea that the typical person has more than 300 Facebook friends?

StatCrunch output has been provided to assist you.

List a null and alternate hypothesis, and discuss what evidence you found in the output to support your conclusion