In athletic contests, a wide-spread conviction exists that the home team has an advantage. However, one explanation

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In athletic contests, a wide-spread conviction exists that the home team has an advantage. However, one explanation for this is that a team schedules some much weaker opponents to play at home. To avoid this bias, a study of college football games considered only games between teams ranked in the top twenty-five. For three hundred seventeen such games, the margin of victory (y = home team score–visitors score) was recorded. For these data, y̅ = 4.57 and s = 18.29. Does this study confirm the existence of a home field advantage? Test H0 : μ = 0 versus H1 : μ > 0 at the 0.05 level of significance.

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