The diameter of a basketball is normally distributed, with a mean, u, of 9 inches, and a standard deviation o of 0.5 inches. What percentage of basketballs will have a diameter between 9.5 and 10.5 inches? Round to the nearest hundredth. [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.
![The diameter of a basketball is normally distributed, with a mean, u, of 9 inches, and a standard deviation o of 0.5 inches.
What percentage of basketballs will have a diameter between 9.5 and 10.5 inches? Round to the nearest hundredth.
[1] %](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65f8c108-e39d-4609-a07a-e1d742d1e8f2%2Ff0927ed1-2f42-49d3-b487-17245868aa0d%2Fgsr99ja_processed.jpeg&w=3840&q=75)
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