Question

Complete the following:

The 1942 St. Louis Cardinals were an amazing baseball team. They won 106 games in an era when teams played only 154 games in a regular season. During the 1942 season, the mean number of games won by a National League team was 75.8 with a standard deviation of 20.5.

Another great Cardinals team was the 2004 squad, which won 105 out of 162 games. In 2004, the mean number of games won by a National League team was 80.9 with a standard deviation of 13.6.

Which was the better team based strictly on percentage of games won?

Which was the better team based on z-scores?

For this question we’ll need to assume that the finishing times for a group of runners in a marathon (26.2 miles) race are likely to be normally distributed. The mean finish time for male marathon runners is 278.42 min with a standard deviation of 39.4 min. The mean finish time for female marathon runners is k294.45 min with a standard deviation of 39.9 min.

At the 2014 Boston Marathon, Meb Keflezighi won the men’s division with a time of 128.62 min and Rita Jeptoo won the women’s division at 138.95 min.

Who finished faster, relative to their gender?

Answer 1