Suppose that the anthropologist of Exercise 7.43 wants the difference between the sample mean and the population mean to be less than .4 inch, with probability .95. How many men should she sample to achieve this objective?
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.
Question:
Suppose that the anthropologist of Exercise 7.43 wants the difference between the sample mean and the population mean to be less than .4 inch, with probability .95. How many men should she sample to achieve this objective?
(Exercise 7.43 included for reference DOESN'T need to be solved: An anthropologist wishes to estimate the average height of men for a certain race of people. If the population standard deviation is assumed to be 2.5 inches and if she randomly samples 100 men, find the probability that the difference between the sample mean and the true population mean will not exceed .5 inch.)
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