Perform a hypothesis test to determine whether there is a difference in the mean attendance of teams between the two groups created in Part F. Use a 0.05 level of significance in your testing procedures. Hint: When calculating your pooled sample variance and your test statistic, assume the Top 10 data is sample 1 and the Bottom 10 data is sample 2. Decision Rule-t < or t > = REJECT H0Value of Pooled Sample Variances Value of test statistic Decision: enter Reject or Do Not Reject Is there a difference in the mean attendance between the two groups assuming a 0.05 level of significance? Enter Yes or No. Another variable that can impact attendance is the team's win-loss record. Teams that are winning more games are thought to have increased attendance as fans prefer to see their home team "win" rather than "lose" (although for some teams such as the Chicago Cubs, this is not always an established relationship!). Create 2 samples based on Wins and calculate average wins, wins variance, and wins standard deviation for each sample.Sample 1 = 10 teams with the highest winsSample 2 = 10 teams with the lowest wins See above tip for sorting advice in Excel... Sample 1Sample 2 Top 10 WinsBottom 10 WinsSample mean attendance mil milSample attendance variance mil milSample attendance standard deviation mil mil Perform a hypothesis test to determine whether there is a difference in the mean attendance of teams between the two groups created in Part H. Use a 0.05 level of significance in your testing procedures. Hint: When calculating your pooled sample variance and your test statistic, assume the Top 10 data is sample 1 and the Bottom 10 data is sample 2.Decision Rule-t < or t > = REJECT H0Value of Pooled Sample Variances Value of test statistic Decision: enter Reject or Do Not Reject Is there a difference in the mean attendance between the two groups assuming a 0.05 level of significance? Enter Yes or No. TeamArizona DiamondbacksAtlanta BravesBaltimore OriolesBoston Red SoxChicago CubsChicago White SoxCincinnati RedsCleveland IndiansColorado RockiesDetroit TigersHouston AstrosKansas City RoyalsLos Angeles AngelsLos Angeles DodgersMiami MarlinsMilwaukee BrewersMinnesota TwinsNew York MetsNew York YankeesOakland AthleticsPhiladelphia PhilliesPittsburgh PiratesSan Diego PadresSan Francisco GiantsSeattle MarinersSt. Louis CardinalsTampa Bay RaysTexas RangersToronto Blue JaysWashington NationalsLeagueNationalNationalAmericanAmericanNationalAmericanNationalAmericanNationalAmericanAmericanAmericanAmericanNationalNationalNationalAmericanNationalAmericanAmericanNationalNationalNationalAmericanNationalNationalAmericanAmericanAmericanNationalTeam Salary ($ mil)143.32130.6127.63227.4194.2671.84100.31142.8143.97130.96163.52129.94173.78199.5891.82108.98115.51150.19179.680.32104.391.03101.34205.67160.99163.7868.81140.63150.95181.38BAHR1761750.2350.257188 0.239208 0.268167 0.2580.259182 0.241172 0.254216210 0.256135 0.241205 0.255155 0.245214 0.242235 0.25128 0.237218 0.252166170 0.2340.25267 0.249227 0.252186 0.234157 0.254162176133 0.2390.2350.2540.2492051501940.2580.24217 0.244191 0.254Wins829047108956267919164103588092639678771009780826689738890677382ERA Year Stadium Opened Attendance (mil) Net Worth ($ bil)3.7219981.213.751.6255.183.753.654.844.633.774.334.583.114.944.153.384.763.734.54.073.783.814.1444.44.133.953.853.744.924.854.04201719921912191419912003199419952000200019731966196220122001201020092009196620042001200420001999200619901994198920082.2426952.5557811.5641922.8955753.1810891.6088171.6293561.9267013.015881.856972.9805491.6651073.0202163.85750.8111042.8508751.9591972.2249953.4828551.5736162.1581241.4653162.1685362.2994893.1561853.4035871.1549732.1071072.3252812.5296041.22.82.91.51.011.0451.11.2251.651.0151.8311.031.152.141.021.71.261.272.851.451.90.91.61.351.675

In the given problem, we need to perform the hypothesis test to determine whether there is a…

Answered: Perform a hypothesis test to determine…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Perform a hypothesis test to determine whether there is a difference in the mean attendance of teams between the two groups created in Part F. Use a 0.05 level of significance in your testing procedures.

Hint: When calculating your pooled sample variance and your test statistic, assume the Top 10 data is sample 1 and the Bottom 10 data is sample 2.

Decision Rule	-t < or t > = REJECT H0
Value of Pooled Sample Variances
Value of test statistic
Decision: enter Reject or Do Not Reject

Is there a difference in the mean attendance between the two groups assuming a 0.05 level of significance? Enter Yes or No.

Another variable that can impact attendance is the team's win-loss record. Teams that are winning more games are thought to have increased attendance as fans prefer to see their home team "win" rather than "lose" (although for some teams such as the Chicago Cubs, this is not always an established relationship!).

Create 2 samples based on Wins and calculate average wins, wins variance, and wins standard deviation for each sample.

Sample 1 = 10 teams with the highest wins
Sample 2 = 10 teams with the lowest wins

See above tip for sorting advice in Excel...

	Sample 1	Sample 2
	Top 10 Wins	Bottom 10 Wins
Sample mean attendance	mil	mil
Sample attendance variance	mil	mil
Sample attendance standard deviation	mil	mil

Perform a hypothesis test to determine whether there is a difference in the mean attendance of teams between the two groups created in Part H. Use a 0.05 level of significance in your testing procedures.

Hint: When calculating your pooled sample variance and your test statistic, assume the Top 10 data is sample 1 and the Bottom 10 data is sample 2.

Decision Rule	-t < or t > = REJECT H0
Value of Pooled Sample Variances
Value of test statistic
Decision: enter Reject or Do Not Reject

Is there a difference in the mean attendance between the two groups assuming a 0.05 level of significance? Enter Yes or No.

Team
Arizona Diamondbacks
Atlanta Braves
Baltimore Orioles
Boston Red Sox
Chicago Cubs
Chicago White Sox
Cincinnati Reds
Cleveland Indians
Colorado Rockies
Detroit Tigers
Houston Astros
Kansas City Royals
Los Angeles Angels
Los Angeles Dodgers
Miami Marlins
Milwaukee Brewers
Minnesota Twins
New York Mets
New York Yankees
Oakland Athletics
Philadelphia Phillies
Pittsburgh Pirates
San Diego Padres
San Francisco Giants
Seattle Mariners
St. Louis Cardinals
Tampa Bay Rays
Texas Rangers
Toronto Blue Jays
Washington Nationals
League
National
National
American
American
National
American
National
American
National
American
American
American
American
National
National
National
American
National
American
American
National
National
National
American
National
National
American
American
American
National
Team Salary ($ mil)
143.32
130.6
127.63
227.4
194.26
71.84
100.31
142.8
143.97
130.96
163.52
129.94
173.78
199.58
91.82
108.98
115.51
150.19
179.6
80.32
104.3
91.03
101.34
205.67
160.99
163.78
68.81
140.63
150.95
181.38
BA
HR
176
175
0.235
0.257
188 0.239
208 0.268
167 0.258
0.259
182 0.241
172 0.254
216
210 0.256
135 0.241
205 0.255
155 0.245
214 0.242
235 0.25
128 0.237
218 0.252
166
170 0.234
0.25
267 0.249
227 0.252
186 0.234
157 0.254
162
176
133 0.239
0.235
0.254
0.249
205
150
194
0.258
0.24
217 0.244
191 0.254
Wins
82
90
47
108
95
62
67
91
91
64
103
58
80
92
63
96
78
77
100
97
80
82
66
89
73
88
90
67
73
82
ERA Year Stadium Opened Attendance (mil) Net Worth ($ bil)
3.72
1998
1.21
3.75
1.625
5.18
3.75
3.65
4.84
4.63
3.77
4.33
4.58
3.11
4.94
4.15
3.38
4.76
3.73
4.5
4.07
3.78
3.81
4.14
4
4.4
4.13
3.95
3.85
3.74
4.92
4.85
4.04
2017
1992
1912
1914
1991
2003
1994
1995
2000
2000
1973
1966
1962
2012
2001
2010
2009
2009
1966
2004
2001
2004
2000
1999
2006
1990
1994
1989
2008
2.242695
2.555781
1.564192
2.895575
3.181089
1.608817
1.629356
1.926701
3.01588
1.85697
2.980549
1.665107
3.020216
3.8575
0.811104
2.850875
1.959197
2.224995
3.482855
1.573616
2.158124
1.465316
2.168536
2.299489
3.156185
3.403587
1.154973
2.107107
2.325281
2.529604
1.2
2.8
2.9
1.5
1.01
1.045
1.1
1.225
1.65
1.015
1.8
3
1
1.03
1.15
2.1
4
1.02
1.7
1.26
1.27
2.85
1.45
1.9
0.9
1.6
1.35
1.675

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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