The length of time it takes to play a Major League Baseball game is of interest to many fans. To estimate the mean “time of game,” a random sample of 48 National League games was identified and the “time of game” (in minutes) obtained for each. The resulting sample mean was 2 hours and 49.1 minutes, and the history of baseball indicates that the time of game variable has a standard deviation of 21 minutes. Construct the 98% confidence interval for the mean time for all National League games.