Matt Jones Activity 12 Facebook Friends MATH 1530 Work in groups of at most three At least one member of the group must have a Facebook account Person to whom graded activity will be returned Others 1 Guess the shape of the distribution that describes the number of Facebook friends that Facebook users have 2 Take a wild guess at the average number of friends Facebook users have 3 Google average number of friends on Facebook How many friends does Facebook claim the average users has 4 Is Facebook s claim much different from your guess Explain 5 As a class let s do a hypothesis test to see whether the average number of friends per user is different from the average claimed by Facebook State the null and alternative hypotheses 6 Are the necessary assumptions satisfied Explain addressing each of them 7 Use the entire class to take your data Each person with a Facebook account should log in and record the numbers of friends for five of their friends chosen at random Compile these data in the Minitab worksheet at the front of the room and also on your computer 8 Make a histogram of your sample and compare it with your guess for the distribution shape Was your guess close Explain 9 Is the average number of Facebook friends for your sample close to your initial guess Is it close to the average claimed by Facebook Explain 10 Compute the test statistic x 0 s n and the p value 11 Are your results statistically significant Are they practically significant Explain 12 Should you write to Facebook and tell them the average is higher lower or different Explain 13 Finally revisit the assumptions necessary to run the test Are they really validated Explain
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