The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8.9 cm. A.) Find the probability that an individual distance is greater than 204.30 cm. B.) Find the probability that the mean for 20 randomly selected distances is greater than 192.80 cm. C.) Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
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 overhead reach distances of adult females are
A.) Find the
B.) Find the probability that the mean for 20 randomly selected distances is greater than 192.80 cm.
C.) Why can the normal distribution be used in part (b), even though the
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