The following table lists the median weekly earnings, in dollars, for women and men for selected years from 1980 to 2002. (A graphing calculator is recommended.) Median Weekly Earnings 1980 1985 1990 1995 2000 2002 Women (x) 413 444 463 475 511 529 Men (y) 541 548 551 561 602 610 (a) Find, to the nearest hundredth, the linear correlation coefficient for the data. (b) On the basis of your answer to part (a), would you say that there is a strong linear relationship, at the Ir| > 0.9 level, between the median weekly earnings of women and the median weekly earnings of m O Yes. The median income of men rose as the median income of women rose. O The median income of men does not correlate with the median income of women. O No. The median income of men rose as the median income of women fell. O No. The median income of men fell as the median income of women rose. O Yes. The median income of men fell as the median income of women fell.
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.
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