6.45Raw scores, z scores, percentiles, and sports teams: Let's look at baseball and football again. We'll look at data for all of the teams in Major League Base-ball (MLB) and the National Football League (NFL), respectively.

a) In 2012, the mean number of wins for MLB teams was 81.00, with a standard deviation of 11. 733.The perennial underdogs, the Chicago Cubs, had a z score of -1.705. How many games did they win?

b) In 2012, the mean number of wins for all NFL teams was 7.969, with a standard deviation of 3.036 The New Orleans Saints had a z score of -0.319. How many games did they win?

c) The Indianapolis Colts were just below the 84^th percentile in terms of NFL wins. How many games did they win? Explain how to obtain the answer.

D) Explain how to examine the answers in parts (a), (b), and (c) to determine whether the numbers make sense.