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Math · Statistics And Probability
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News of your analytical prowess has spread throughout the country. Naturally, when the coaching staff of OSUs 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. OSUs scores are listed first. 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 Step 1) What type of hypothesis test is required here? How would you run this test in MINITAB (Menus, Functions used)? Is this a left-tailed, right-tailed, or two-tailed test? Step 2) Verify all assumptions required for this test: Step 3) State the null and alternate hypotheses for this test: (use correct symbols and format!) Null hypothesis Alternate hypothesis Step 4) Run the correct test in MINITAB and provide the information below. Use correct symbols and round answers to 3 decimal places. Test Statistic Degrees of freedom Critical Value p-value Step 5) State your statistical decision (and justify it!) Step 6) Interpret your decision within the context of the problem: what is your conclusion?

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