American Avg Runs/Game National Avg Runs/Game ТЕХ 11.06 COL 10.69 BOS 10.74 CIN 9.33 NYY 9.99 ARI 9.19 TOR 9.94 HOU 9.12 BAL 9.65 NYM 8.58 DET 9.52 MIL 8.56 KCR 9.17 STL 8.48 CLE 8.85 CHC 8.41 MIN 8.53 FLA 8.15 CHW 8.36 PIT 7.99 OAK 7.95 WSN 7.69 TBR 7.33 PHI 7.65 LAA 7.31 LAD 7.54 SEA 7.021 ATL 7.51 SDP 6.69 SFG 6.01 Source: www.baseball-reference.com
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.
Baseball 2011 American League baseball teams play
their games with the designated hitter rule, meaning that
pitchers do not bat. The League believes that replacing
the pitcher, typically a weak hitter, with another player in
the batting order produces more runs and generates more
interest among fans. Following are the average number ofruns scored in American League and National League
stadiums for the 2011 season:
data.
ber of runs scored per game in the two leagues.
c) The Texas Rangers ballpark in Arlington, Texas, was
built in a “retro” style recalling older style parks. It is
relatively small and has a reputation for home runs.
Do you see evidence that the number of runs scored
there is unusually high? Explain.
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