I am asked to make and argument stating that left handed shooters are better tha
ID: 3768924 • Letter: I
Question
I am asked to make and argument stating that left handed shooters are better than right handed shooters from the given data sets by:
Finding the averages, and standard deviations of the left handed players 3pt%s and free throw%s and comparing those to the right handed players. We are told that just by doing this it would not show either handed shooter was better than the other. So we are asked to do a Binomial Hypothesis Test using the combined averages of the left handed and right handed shooters when taking a 100 shots. We are told that left handed shooters have a 5% higher chance of hitting a shot because defensive players usually try blocking the shot with the wrong hand because they are not used to guarding left handed players. From this data set claim which handed shooter is better than the other. Or disclaim that
Left Handed Players 3Pt% Free Throw%
Michael Conley
.360
.845
Brandon Jennings
.386
.865
Greg Monroe
.365
.714
Tayshaun Prince
.420
.827
James Harden
.453
.868
Josh Smith
.365
.885
Goran Dragic
.422
.928
Manu Ginobili
.477
.935
Isaiah Thomas
.387
.800
Thaddeus Young
.422
.819
Average 3point% = (.360+.386+.365+.420+.453+.365+.422+.477+.387+.422)/10
= 40.7%
Average Free Throw% = (.845+.865+.714+.827+.868+.885+.928+.935+.800+.819)
= 84.9%
Right Handed Players 3Pt% Free Throw%
Andrew Wiggins
.302
.744
DeMar DeRozan
.422
.828
Jimmy Butler
.415
.800
C.J McCollum
.391
.882
Bradley Beal
.329
.800
Eric Gordon
.351
.867
Dwyane Wade
.286
.806
Nicolas Batum
.402
.886
Klay Thompson
.402
.833
Alec Burks
.395
.845
Khris Middleton
.362
.870
Victor Oladipo
.444
.788
J.J. Reddick
.316
.853
Rodney Hood
.361
.809
Jeremy Lamb
.262
.865
Average 3point% = (.302+.422+.415+.391+.329+.351+.286+.402+.402+.395+.362+.444+.316+.361+.262)/15
= 36.3%
Average Free Throw% = (.744+.828+.800+.882+.800+.867+.806+.886+.833+.845+.870+.788+.853+.809+.865)/15
= 83.2%
Michael Conley
.360
.845
Brandon Jennings
.386
.865
Greg Monroe
.365
.714
Tayshaun Prince
.420
.827
James Harden
.453
.868
Josh Smith
.365
.885
Goran Dragic
.422
.928
Manu Ginobili
.477
.935
Isaiah Thomas
.387
.800
Thaddeus Young
.422
.819
Explanation / Answer
Average 3point% = (.360+.386+.365+.420+.453+.365+.422+.477+.387+.422)/10 = 0.4057
Standard Deviation = 0.03972
Average Free Throw% = (.845+.865+.714+.827+.868+.885+.928+.935+.800+.819)/10 = 0.8486
Standard Deviation = 0.06461
Right Hand
Average 3point% = (.302+.422+.415+.391+.329+.351+.286+.402+.402+.395+.362+.444+.316+.361+.262)/15 = 0.36267
Standard Derivation = 0.05409
Average Free Throw% = (.744+.828+.800+.882+.800+.867+.806+.886+.833+.845+.870+.788+.853+.809+.865)/15 = 0.83173
Standard Derivation = 0.0403
If we compare left hand side to Right hand side
Average 3point% ( 0.4057) > (0.36267)
Average Free Throw% ( 0.8486) > (0.83173)
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