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

Expert Solution

For pitchers

sample size =n1= 14

orchestra answered 1 year ago

Next > < Previous

Related 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...

In the 1996 regular baseball season, the World Series Champion New York Yankees played 80 games...

In the 1996 regular baseball season, the World Series Champion New York Yankees played 80 games at home and 82 games away. They won 49 of their home games and 43 of the games played away. We can consider these games as samples from potentially large populations of games played at home and away. a. Combining all of the games played, what proportion did the Yankees win? b. Find the standard error needed for testing that the probability of winning...

Major league baseball team owners have an oligopoly in the market for baseball players

3. Problems and Applications Q3This chapter discusses companies that are oligopolists in the market for the goods they sell. Many of the same ideas apply to companies that are oligopolists in the market for the inputs they buy. If sellers who are oligopolists try to increase the price of goods they sell, the goal of buyers who are oligopolists is to try to decrease the prices of goods they buy Major league baseball team owners have an oligopoly in the market...

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 8 103 279 sing games won as the explanatory variable xx, 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 75 264 2 77 263 3 88 285 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)...

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 7272 266266 2 9494 272272 3 113113 283283 4 8888 273273 5 6565 269269 6 9191 274274 7 7474 270270 8 8080 260260 Using games won as the explanatory variable xx, do the following: (a)...

Subjects