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6. Hypothesis Test for the Difference Between Two Population Means You were asked to compare your team's skill level (from its years) with the assigned
6. Hypothesis Test for the Difference Between Two Population Means You were asked to compare your team's skill level (from its years) with the assigned team's skill level (from the assigned time frame). You tested the claim that the skill level of your team is the same as the skill level of the assigned team, using a 1% level of signicance. Null Hypothesis: The Bulls relative skill level is equal to Celtics ( Bulls skill = Celtics skill) Alternative Hypothesis: The Bulls relative skill level is not equal to Celtics (Bulls skill #Celtics skill) Mean Relative Skill of the assigned team in the years 1996 to 1998 = 1739.8 Mean Relative Skill of your team in the years 2013 to 2015 = 1456. 78 Level of significance (at) = 1% = 0.01 Table 5: Hypothesis Test for the Difference Between Two Population Means Statistic Value Test Statistic 53.41 P-value 0.0 *Round off to 4 decimal places. What are the implications of your ndings from this hypothesis test? What is its practical significance? The findings reject the null hypothesis at a 99 percent confidence interval when calculating the relative data between the two population means for relative skills of both the Bulls (1739. 8) and the Celtics {1456. 78) for the given timeframes at a 1% level of significance. Since the test statistic is 53.41 and the p-value is 0.0, the null hypothesis should be rejected because it is less than the alpha of 0. 01
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