To test whether the mean length is signficantly less than a given value.
During recent seasons, Major League Baseball has been criticized for the length of the games. A report indicated that the average game lasts 3 hours and 30 minutes. A sample of 17 games revealed the following times to completion. (Note that the minutes have been changed to fractions of hours, so that a game that lasted 2 hours and 24 minutes is reported at 2.40 hours.
|
2.98
|
2.4
|
2.7
|
2.25
|
3.23
|
3.17
|
2.93
|
3.18
|
2.8
|
|
2.38
|
3.75
|
3.2
|
3.27
|
2.52
|
2.58
|
4.45
|
2.45
|
|
Can we conclude that the mean time for a game is less than 3.50 hours? Use the .05 significance level.