4. Heights of Parents. A sociologist claims that women tend to marry men who are taller than themselves? Suppose that 20 random married couples are measured. If the difference in height for each set of parents is found by subtracting the mother's height from the father's height, the mean was 4.4 inches with a standard deviation of 4.2 inches. Use a 0.01 significance level to test the claim that the mean difference is greater than 0.
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.
4. Heights of Parents. A sociologist claims that women tend to marry men who are taller than themselves? Suppose that 20 random married couples are measured. If the difference in height for each set of parents is found by subtracting the mother's height from the father's height, the mean was 4.4 inches with a standard deviation of 4.2 inches. Use a 0.01 significance level to test the claim that the mean difference is greater than 0.
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