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Michelle Ji, Samantha Shober, April Zhang Block 4 16 May 2011
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Tested on 47 students and two teachers Whether or not hand dominance or sports had affect on reaction times Test Structure Participants place fingers on both sides of meter stick (with dominant hand) at 40 cm mark Meter stick randomly dropped Participants grasp as soon as possible Measurement made based on where index finger touched Categorical Data Whether or not participants played sports during the school year Whether or not participants were left/right hand dominant
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Shape : Unimodal and slightly skewed right Center : Mean (disregarding right skew): 15.3765 Median (to account for right skew): 14 Spread : Range: 36 Q1: 12 Q3: 20
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Majority of the points fit the normal model With the exception of several points that only slightly fit the model Roughly linear
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Females Shape : right skewed with one outlier Center : Median: 16 Spread : Range (with outlier): 31 Range (without outlier): 26 Q1: 13 Q3: 22 Males Shape : left skewed with no outliers Center : Median: 14 Spread: Range: 23 Q1: 6 Q3: 17
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Sports (Yes) Shape : approximately normal with three outliers Center : Median: 14 Spread : Range: 32 Q1: 10 Q3: 20 Sports (No) Shape : slightly right skewed Center : Median: 16 Spread : Range (with outliers): 35 Range (without outliers): 16 Q1: 13 Q3: 18
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A+M (recorder + dropper) Shape : (without outlier) approximately normal (with outlier) Right Skewed Center : Median: 13.5 Spread : Range (with outlier): 35 Range (with outlier): 21 Q1: 7.5 Q3: 16 A+S Shape : Right Skewed Center : Median: 16.5 Spread : Range: 23 Q1: 14 Q3: 22.5 S+M Shape : Left Skewed Center : Median: 17 Spread : Range : 23 Q1: 12 Q3: 18
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Out of the people that we experimented on, more played sports Out of the people that we experimented on, there were more females
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12 males play sports 11 males do not play sports The proportion of males who play sports is approximately equal to the proportion of males who do not play sports 18 females play sports 8 females do not play sports The proportion of females who play sports is approximately double the proportion of females who do not play sports
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57.89% of people who do not play sports are male 42.11% of people who do not play sports are female 40% of people who do play sports are male 60% of people who do play sports are female 30.77% of females do not play sports 69.23% of females play sports 47.83% of males do not play sports 52.17% of males do play sports
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Sports vs. Gender are dependent variables Conditional graphs are different
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State: 1)SRS 2)Categorical Data 3)All expected counts >/= 5 Check: 1)Assumed representative 2)Gender and sport involvement are categorical variables 3)All cell counts >/= 5 We fail to reject Ho because the p- value of 0.22 is > α = 0.05. We have sufficient evidence that gender and sport involvement are not independent.
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Sampling Errors/Lurking Variables Participant Bias Phrasing of questions Ex: Do you play sports? Vs. Do you play sports at South? Two different people dropping the ruler Ambidextrous people Their hand position before catching Injuries/health complications Positioning of hand before they caught the ruler Some people used more fingers Some people spread their fingers apart Misunderstanding of test procedure Misunderstanding of questions being asked Ex: Perception of ‘sport’
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Females (generally) have slower reaction times compared to males People who play sports usually have faster reaction times When April and Michelle conducted the research, there were high levels of variability Sufficient evidence that gender and sports are dependent Future Plans More tests (greater population) Non-statistics students Test of age to see if it has an affect on reaction rates
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