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Matched Pairs: Kicking a hellium-filled foot- ball 1 Does a football filled with helium travel farther than one filled with ordinary air? To test this, the Columbus Dispatch conducted a study. Two identical footballs, one filled with helium and one filled with ordinary air, were used. A casual observer was unable to detect a difference in the two footballs. A novice kicker was used to punt the footballs. A trial consisted of kicking both footballs in a random order. The kicker did not know which football (the helium-filled or the air-filled football) he was kicking. The distance of each punt was recorded. Then another trial was conducted. A total of 39 trials were run. The data is found in the attached minitab file inside C1 and C2. Questions 1. Compute the differences, these do not need to be listed here, just tell me your order. 2. Create a Boxplot of your Differences 3. Conduct the appropriate Test of Hypothesis based upon your differ- ences. Write out your Null and Alternative Hypotheses and show your minitab output 4. Interpret your results in regards to this question. 5. Create and Interpret a 95% Confidence Interval in regards to this prob- lem.
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