Heights for group of people normally distributed with mean = 65 inches and standard deviation = 2.8 inches. Find the height, h such that about 25% of people in the group are shorter than that height. (Round the answer to the nearest tenth.) h = in. What is the percentile, p ranking for that height? p = %
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.
![Heights for group of people normally distributed with mean = 65 inches and standard deviation =
2.8 inches. Find the height, h such that about 25% of people in the group are
shorter than that height. (Round the answer to the nearest tenth.)
h =
in.
What is the percentile, p ranking for that height?
p =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48ea98cd-de24-4845-9aa2-b2b152549025%2F9352599b-bbec-4025-ab9f-b138070c1122%2Fd7ady91i_processed.png&w=3840&q=75)
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