The heights of male seniors in high school closely follow a normal distribution N(?,?) = N(70.3,2.6), where the units are inches. a) If we randomly sample the heights of five male seniors, what distribution should the sample mean follow? Give your answers to two decimal places. The distribution of the sample mean is N( , ) b) If we choose a random sample of 5 male seniors, what is the probability that their average height will be greater than or equal to 71.8 inches? Give your answer to 2 decimal places. Probability =
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 heights of male seniors in high school closely follow a
a) If we randomly sample the heights of five male seniors, what distribution should the sample
b) If we choose a random sample of 5 male seniors, what is the
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