News of your analytical prowess has spread throughout the country. Naturally, when the coaching staff of OSU’s football team has a statistical question, they contact the best: you. The coaching staff wants to know if they can be 95% confident that the average difference between OSU and their opponent is more than two touchdowns (14 points). Use the data below from 30 randomly chosen games to answer their question. OSU’s scores are listed first. OSU Opponent 44 28 38 10 42 24 31 24 50 28 42 13 49 28 42 20 49 37 66 0 14 17 34 27 42 35 55 14 21 35 28 3 38 12 59 0 31 24 34 17 28 14 20 13 42 28 56 17 35 40 49 7 38 0 42 27 52 24 24 34 What type of hypothesis test is required here? Is this a left-tailed, right-tailed, or two-tailed test? Verify all assumptions required for this test. State the null and alternate hypotheses for this test: (use correct symbols and format!). Run the correct test using a software and provide the information below. Use correct symbols and round answers to 3 decimal places. Test Statistic, Degrees of freedom, Critical Value, P-Value State your statistical decision (and justify it!) Interpret your decision within the context of the problem: what is your conclusion?
News of your analytical prowess has spread throughout the country. Naturally, when the coaching staff of OSU’s football team has a statistical question, they contact the best: you. The coaching staff wants to know if they can be 95% confident that the average difference between OSU and their opponent is more than two touchdowns (14 points). Use the data below from 30 randomly chosen games to answer their question. OSU’s scores are listed first.
| OSU | Opponent |
| 44 | 28 |
| 38 | 10 |
| 42 | 24 |
| 31 | 24 |
| 50 | 28 |
| 42 | 13 |
| 49 | 28 |
| 42 | 20 |
| 49 | 37 |
| 66 | 0 |
| 14 | 17 |
| 34 | 27 |
| 42 | 35 |
| 55 | 14 |
| 21 | 35 |
| 28 | 3 |
| 38 | 12 |
| 59 | 0 |
| 31 | 24 |
| 34 | 17 |
| 28 | 14 |
| 20 | 13 |
| 42 | 28 |
| 56 | 17 |
| 35 | 40 |
| 49 | 7 |
| 38 | 0 |
| 42 | 27 |
| 52 | 24 |
| 24 | 34 |
What type of hypothesis test is required here? Is this a left-tailed, right-tailed, or two-tailed test? Verify all assumptions required for this test.
State the null and alternate hypotheses for this test: (use correct symbols and format!).
Run the correct test using a software and provide the information below. Use correct symbols and round answers to 3 decimal places.
Test Statistic, Degrees of freedom, Critical Value, P-Value
State your statistical decision (and justify it!)
Interpret your decision within the context of the problem: what is your conclusion?
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