Data show that men between the ages of 20 and 29 in a general population have a mean height of 69.3 inches, with a standard deviation of 3.1 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 3.1 inches. The heights (in inches) of 20 randomly selected players are shown in the table. E Click the icon to view the data table. Test the notion at the a= 0.01 level of significance. What are the correct hypotheses for this test? The null hypothesis is Ho: V3.1. The alternative hypothesis is H,: 3.1.
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.
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