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% condent that the average difference between DSU and their opponent is more than two touchdowns [14 points}. Lise the data below from SE]- randomly chosen games to answer their question. DSU's scores are listed rst. I Step 1] 1I..|'|u'hat type of hypothesis test is required here? Is this a lefttailed, righttailed, or twotailed test? Step 2] 1y'erify all assumptions required for this test: Step 3] State the null and alternate hypotheses for this test: [use oorrect symbols and format!} Null hypothesis Alternate hypothesis Step 4] 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 pyalue Step 5] State your statistical decision [and justify it!} Step 5] Interpret your decision within the context of the problem: what is your oonclusion? \f