Bowling a Large Corporation Sponsors Bowling Leagues for Its Employees

Essay

Bowling A large corporation sponsors bowling leagues for its employees. The mean score for men was 154 pins with a standard deviation of 9 pins, while the women had mean score 144 pins and standard deviation 12 pins. At the end of the season the league holds a tournament that randomly pairs men and women as opponents in the first round.
a. On average, how much do you expect the man to win by?
b. Estimate the standard deviation of the differences in the competitor's scores. c. What assumption did you make in determining the standard deviation?