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.
![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:
3.1.
The alternative hypothesis is H,:
V3.1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F285bde9a-73ab-4f65-ad4c-0c30659ff545%2F3c491493-33a2-49fc-9aae-8e0602f21ccd%2Fzzpup6_processed.jpeg&w=3840&q=75)
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