A Click here for the Excel Data File - State the null and alternative hypothesis. но: Н1: What is the decision rule? (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) Reject HO if t is not between and Calculate the test statistic. (Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.) Value of the test statistic What is your decision regarding Ho?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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 | $ | 13,000,000 | ||||
Andrew Miller | Relief Pitcher | $ | 9,000,000 | ||||
Starlin Castro | Second Base | $ | 7,857,142 | ||||
Nathan Eovaldi | Starting Pitcher | $ | 5,600,000 | ||||
Michael Pineda | Starting Pitcher | $ | 4,300,000 | ||||
Ivan Nova | Relief Pitcher | $ | 4,100,000 | ||||
Dustin Ackley | Left Field | $ | 3,200,000 | ||||
Didi Gregorius | Shortstop | $ | 2,425,000 | ||||
Aaron Hicks | Center Field | $ | 574,000 | ||||
Austin Romine | Catcher | $ | 556,000 | ||||
Chasen Shreve | Relief Pitcher | $ | 533,400 | ||||
Luis Severino | Starting Pitcher | $ | 521,300 | ||||
Kirby Yates | Relief Pitcher | $ | 511,900 | ||||
Ronald Torreyes | Second Base | $ | 508,600 | ||||
Johnny Barbato | Relief Pitcher | $ | 507,500 | ||||
Dellin Betances | Relief Pitcher | $ | 507,500 | ||||
Luis Cessa | Relief Pitcher | $ | 507,500 | ||||
Sort the players into two groups, all pitchers (relief and starting) and position players (all others). Assume equal population standard deviations for the pitchers and the position players. Test the hypothesis that
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