1. A baseball fan wants to know if there is a difference in the number of games played in the World Series when the American League won versus when the National League won the series. From 1922 to 2012, the population standard deviation of games won by the American League was 1.14 and the population standard deviation of games won by the National League was 1.11. Of the 19 randomly selected World Series games won by the American League, the average number of games won was 5.76. The mean number of 17 randomly selected games won by the National League was 5.42. Using a 95% confidence level, after hypothesis testing, what would you tell the baseball fan? Would the null hypothesis reject H0 or fail to reject H0
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.
1. A baseball fan wants to know if there is a difference in the number of games played in the World Series when the American League won versus when the National League won the series. From 1922 to 2012, the population standard deviation of games won by the American League was 1.14 and the population standard deviation of games won by the National League was 1.11. Of the 19 randomly selected World Series games won by the American League, the average number of games won was 5.76. The mean number of 17 randomly selected games won by the National League was 5.42. Using a 95% confidence level, after hypothesis testing, what would you tell the baseball fan?
Would the null hypothesis reject H0 or fail to reject H0?
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