According to the National Health Statistics report, the mean height of all adult (age 18 years and older) males in the United States in 69.4 inches. A random sample of 300 men aged 60 – 69 years old has a mean height of 69.0 inches, with a standard deviation of 2.65 inches. At α = 0.10, can we conclude that the population of older (aged 60 – 69 years old) men are shorter than the population of all men in the USA?
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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According to the National Health Statistics report, the
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