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Two Sample T-Test Essay

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Defensive backs (DBs) have become more important every year in the NFL because of the increase in the passing game. DBs are being drafted more often in the first round with height as one of the most important specs to defend Wide Receivers (WRs). My research question: Is the average DB taller than the average WR? My expectation is that there will not be a significant difference between the two.
The Populations used to support my hypothesis are three starting (NFL) DBs from each team in the American Football Conference (AFC) and three starting WRs from each team in the National Football Conference (NFC). The variable used is height in inches. For example 5’11” = 71 inches and 6’0” = 72 inches. The data collected is from Athlon Sports 2014 NFL Preview magazine. This data can also be found at http://athlonsports.com/. Both magazine and website have completed 2014 rosters with individual player heights available. To avoid bias I chose only the starters/best players for each team in each conference. In a game the best DBs will defend the best WRs. This makes the samples chosen the best representation of the population. The first step to examining my research question is to establish a Null and Alternate hypothesis. Null Hypothesis: H0 : μ1 - μ2 = 0 Alt. Hypothesis: HA : μ1 - μ2 > 0 μ1 = DBs and μ2 = WRs
The Null is that the difference between the two groups (DBs & WRs) is 0. The Alternate is a single right tailed hypothesis and states that the DBs height is greater than the WRs. My expectations are that there is no significant difference between the two and the Null will not be rejected. The screenshot below shows the two different populations and the total number of observations for each. The population

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