An government official believes that the average annual income of men and women are the same in the United States. The official knows the population standard deviation of income for men and women. The following information outlines the information for each sample. Men Women N1=75 N2=20 X2=$52,004 X2=$42,238 SD=$4,000 SD=$5000 Test the official's claim at .05 level
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.
An government official believes that the average annual income of men and women are the same in the United States. The official knows the population standard deviation of income for men and women. The following information outlines the information for each sample.
Men Women
N1=75 N2=20
X2=$52,004 X2=$42,238
SD=$4,000 SD=$5000
Test the official's claim at .05 level
Step by step
Solved in 2 steps with 1 images
