A sample of 10 NCAA college basketball game scores provided the following data (USA Today, January 26, 2004).

Winning Winning Team Points Losing Team Points Margin Arizona 90 Oregon 66 24 Duke 85 Georgetown 66 19 Florida State 75 Wake Forest 70 5 Kansas 78 Colorado 57 21 Kentucky 71 Notre Dame 63 8 Louisville 65 Tennessee 62 3 Oklahoma State 72 Texas 66 6

a. Compute the mean and standard deviation for the points scored by the winning team.

b. Assume that the points scored by the winning teams for all NCAA games follow a bell-shaped distribution. Using the mean and standard deviation found in part (a), estimate the percentage of all NCAA games in which the winning team scores 84 or more points. Estimate the percentage of NCAA games in which the winning team scores more than 90 points.

c. Compute the mean and standard deviation for the winning margin. Do the data contain outliers? Explain.