Reference no: EM132399758

Dr. Tran is a fan of college football, and is a little bummed the Texas Longhorns haven't been doing as well these past few years. She has a hunch that because The Longhorns are in the highest collegiate athletic division (Division-I), her team is more likely to play a mismatched opponent. That is, The Longhorns are more likely to play games with different point spreads (winning team's score minus losing team's score) compared to other Divisions. To test this idea, she looked at a sample of 4 games from a lower division (Division-II) to see if the mean point spread was different compared to The Longhorns' Division-I group. Overall, Division-I teams had a mean spread of 16.189 points with a standard deviation of 12.128 points.

1. State the null hypothesis based on what Dr. Tran believes about mean point spreads in Division-I compared to Division-II football games.
2. State the research hypothesis based on what Dr. Tran believes about mean point spreads in Division-I compared to Division-II football games.
3. Given the convention of p<.05, what can you conclude about the mean point spread found in Division-II compared to the mean point spread in Division-I teams? First, make a decision regarding your hypothesis, then state your conclusion.