During the 2003 season, Major League Baseball took steps to speed up the play of baseball games in order to maintain fan interest (CNN Headline News, September 30, 2003). The following results come from a sample of 60 games played during the summer of 2002 and a sample of 50 games played during the summer of 2003. The sample mean shows the mean duration of the games included in each sample.

2002 Season 2003 Season
n1 = 60 n2 = 50
xbar = 2 hours, 52 minutes xbar = 2 hours, 46 minutes

What is the point estimate, in minutes, of the reduction in the mean duration of games during the 2003 season?

Historical data indicate a population standard deviation of 12 minutes is a reasonable assumption for both years. Conduct the hypothesis test.

What is the value of the test statistic (to 2 decimals)?

What is the p-value (to 4 decimals)?

Provide a 95% confidence interval estimate of the reduction in the mean duration of games during the 2003 season (to 1 decimal).

What was the percentage reduction in the mean time of baseball games during the 2003 season (to 1 decimal)