Question
In: Statistics and Probability
25 New York Yankees players from the Major League Baseball, 2016 season, were asked about their...
25 New York Yankees players from the Major League Baseball, 2016 season, were asked about their salaries. They were further classified into pitchers and non-pitchers and the following data on their wages were obtained:
14 pitchers with sample mean = 8,592,211 and sample standard deviation = 8,869,873
11 non-pitchers with sample mean = 8,335,158 and sample standard deviation = 8,969,283
Assume that the population deviations are the same.
to. Considering a significance level of 0.01, can it be concluded that the mean wages between pitchers and non-pitchers are the same? Specify the null and alternative hypothesis as well as the test statistic.
b. Calculate the p-value of the test and conclude in the context of the problem.
c. Determine what type of error is made.
d. Build a confidence interval for the 99% wage difference.
Solutions
orchestra answered 1 year agoRelated Solutions
Listed below are the 25 players on the opening-day roster of the 2016 New York Yankees...
Listed below are the 25 players on the opening-day roster of the
2016 New York Yankees Major League Baseball team, their salaries,
and fielding positions.
Player
Position
Salary (US$)
C.C. Sabathia
Starting Pitcher
$
25,000,000
Mark Teixeira
First Base
$
23,125,000
Masahiro Tanaka
Starting Pitcher
$
22,000,000
Jacoby Ellsbury
Center Field
$
21,142,857
Alex Rodriguez
Designated Hitter
$
21,000,000
Brian McCann
Catcher
$
17,000,000
Carlos Beltran
Right Field
$
15,000,000
Brett Gardner
Left Field
$
13,500,000
Chase Headley
Third Base...
Listed below are the 25 players on the opening-day roster of the 2016 New York Yankees...
Listed below are the 25 players on the opening-day roster of the
2016 New York Yankees Major League Baseball team, their salaries,
and fielding positions.
Player
Position
Salary (US$)
C.C. Sabathia
Starting Pitcher
$
25,000,000
Mark Teixeira
First Base
$
23,125,000
Masahiro Tanaka
Starting Pitcher
$
22,000,000
Jacoby Ellsbury
Center Field
$
21,142,857
Alex Rodriguez
Designated Hitter
$
21,000,000
Brian McCann
Catcher
$
17,000,000
Carlos Beltran
Right Field
$
15,000,000
Brett Gardner
Left Field
$
13,500,000
Chase Headley
Third Base...
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Major league baseball team owners have an oligopoly in the market for baseball players
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Is the number of games won by a major league baseball team in a season related...
Is the number of games won by a major league baseball team in a
season related to the team batting average? The table below shows
the number of games won and the batting average (in thousandths) of
8 teams.
Team
Games Won
Batting Average
1
114
275
2
79
278
3
73
289
4
91
268
5
102
262
6
100
263
7
79
278
8
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sing games won as the explanatory variable xx, do the
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(a)...
Is the number of games won by a major league baseball team in a season related...
Is the number of games won by a major league baseball team in a
season related to the team batting average? The table below shows
the number of games won and the batting average (in thousandths) of
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4 77 259 5 106 281 6 101 270 7 60 274 8 97 268 Using games won as
the explanatory variable x, do the following: (a)...
Is the number of games won by a major league baseball team in a season related...
Is the number of games won by a major league baseball team in a
season related to the team batting average? The table below shows
the number of games won and the batting average (in thousandths) of
8 teams.
Team
Games Won
Batting Average
1
112
290
2
60
274
3
104
286
4
90
284
5
100
279
6
91
265
7
106
272
8
96
289
Using games won as the explanatory variable x, do the
following:
(a)...
Is the number of games won by a major league baseball team in a season related...
Is the number of games won by a major league baseball team in a
season related to the team batting average? The table below shows
the number of games won and the batting average (in thousandths) of
8 teams. Team Games Won Batting Average 1 78 259 2 94 285 3 63 277
4 82 277 5 90 261 6 103 263 7 106 266 8 96 289 Using games won as
the explanatory variable x, do the following: (a)...
Is the number of games won by a major league baseball team in a season related...
Is the number of games won by a major league baseball team in a
season related to the team batting average? The table below shows
the number of games won and the batting average (in thousandths) of
8 teams.
Team
Games Won
Batting Average
1
7474
272272
2
7676
283283
3
9898
268268
4
106106
269269
5
7878
266266
6
117117
278278
7
7474
272272
8
108108
270270
Using games won as the explanatory variable xx, do the
following:
(a)...
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