Benchmark - Hypothesis Testing

Week 2

		Overall Attendance (Year/Season)
	2015	2016	2017	2018	2019	2020
Teams
Denver Nuggets	16068	15923	16095	17506	17962	18190
Golden State Warriors	18954	19365	19305	19240	19193	17773
Houston Rockets	18099	17861	17556	18137	17989	18074
Los Angeles Clippers	18623	18492	18488	17373	17279	18461
Los Angeles Lakers	18306	19073	18570	18796	18929	18936
Phoenix Suns	17254	16994	17451	17243	16638	16622
Utah Jazz	17982	18341	18442	17708	17911	17767
Data Table
Mean	18025.1666666667
Median	17946.5
Skewness	0.5806967092
Standard Deviation	301.8750845411
Min	17708
Max	18442
Median	17946.5
Q1	17803
Q3	18251.25

Overal Team Attendance

2015 Teams Denver Nuggets Golden State Warriors Houston Rockets Los Angeles Clippers Los Angeles Lakers Phoenix Suns Utah Jazz 16068 18954 18099 18623 18306 17254 17982 2016 Teams Denver Nuggets Golden State Warriors Houston Rockets Los Angeles Clippers Los Angeles Lakers Phoenix Suns Utah Jazz 15923 19365 17861 18492 19073 16994 18341 2017 Teams Denver Nuggets Golden State Warriors Houston Rockets Los Angeles Clippers Los Angeles Lakers Phoenix Suns Utah Jazz 16095 19305 17556 18488 18570 17451 18442 2018 Teams Denver Nuggets Golden State Warriors Houston Rockets Los Angeles Clippers Los Angeles Lakers Phoenix Suns Utah Jazz 17506 19240 18137 17373 18796 17243 17708 2019 Teams Denver Nuggets Golden State Warriors Houston Rockets Los Angeles Clippers Los Angeles Lakers Phoenix Suns Utah Jazz 17962 19193 17989 17279 18929 16638 17911 2020 Teams Denver Nuggets Golden State Warriors Houston Rockets Los Angeles Clippers Los Angeles Lakers Phoenix Suns Utah Jazz 18190 17773 18074 18461 18936 16622 17767

Overal Attendance Comparison

2015 Teams Denver Nuggets Golden State Warriors Houston Rockets Los Angeles Clippers Los Angeles Lakers Phoenix Suns Utah Jazz 16068 18954 18099 18623 18306 17254 17982 2016 Teams Denver Nuggets Golden State Warriors Houston Rocket s Los Angeles Clippers Los Angeles Lakers Phoenix Suns Utah Jazz 15923 19365 17861 18492 19073 16994 18341 2017 Teams Denver Nuggets Golden State Warriors Houston Rockets Los Angeles Clippers Los Angeles Lakers Phoenix Suns Utah Jazz 16095 19305 17556 18488 18570 17451 18442 2018 Teams Denver Nuggets Golden State Warriors Houston Rockets Los Angeles Clippers Los Angeles Lakers Phoenix Suns Utah Jazz 17506 19240 18137 17373 18796 17243 17708 2019 Teams Denver Nuggets Golden State Warriors Houston Rockets Los Angeles Clippers Los Angeles Lakers Phoenix Suns Utah Jazz 17962 19193 17989 17279 18929 16638 17911 2020 Teams Denver Nuggets Golden State Warriors Houston Rockets Los Angeles Clippers Los Angeles Lakers Phoenix Suns Utah Jazz 18190 17773 18074 18461 18936 16622 17767

Alexandria Tardiff did this table and graphs

Week 3

		Overall Attendance (Year/Season)
	2015	2016	2017	2018	2019	2020	Mean
Teams										Attendance Average for 2020	10
Denver Nuggets	16068	15923	16095	17506	17962	18190	16957.3333333333
Golden State Warriors	18954	19365	19305	19240	19193	17773	18971.6666666667
Houston Rockets	18099	17861	17556	18137	17989	18074	17952.6666666667			Number of trials (n)	20
Los Angeles Clippers	18623	18492	18488	17373	17279	18461	18119.3333333333			Probablility of success (p) Probability of attendance over the average	0.5
Los Angeles Lakers	18306	19073	18570	18796	18929	18936	18768.3333333333
Phoenix Suns	17254	16994	17451	17243	16638	16622	17033.6666666667
Utah Jazz	17982	18341	18442	17708	17911	17767	18025.1666666667			X	f(x)	Cumulative
										0	0.0000010	0.0000010
										1	0.0000191	0.0000200
Utah Jazz 2020 last 20 games										2	0.0001812	0.0002012
Wins	6									3	0.0010872	0.0012884
Loses	14									4	0.0046206	0.0059090
Average	10									5	0.0147858	0.0206947
										6	0.0369644	0.0576591
										7	0.0739288	0.1315880
										8	0.1201344	0.2517223
										9	0.1601791	0.4119015
										10	0.1761971	0.5880985
										11	0.1601791	0.7482777
										12	0.1201344	0.8684120
										13	0.0739288	0.9423409
										14	0.0369644	0.9793053
										15	0.0147858	0.9940910
										16	0.0046206	0.9987116
										17	0.0010872	0.9997988
										18	0.0001812	0.9999800
										19	0.0000191	0.9999990
										20	0.0000010	1.0000000
QUESTION 2		probability of 0 events				0.0000010
		probability of <5 events				0.0059090
		probability of>= 10 events				0.5880985
QUESTION 3		value of X of 20% of data						5
		value of X of top 10% of data						13
		95% of data lies between two values of x						6 and 14