Does it pay to stay in school? A report looked at the median hourly wage gain per additional year of schooling in 2007. The report states that workers with a high school diploma had a median hourly wage that was 13% higher than those who had only completed 11 years of school. Workers who had completed 1 year of college (13 years of education) had a median hourly wage that was 14% higher than that of the workers who had completed only 12 years of school. The added gain in median hourly wage for each additional year of school is shown in the accompanying table. The entry for 15 years of schooling has been intentionally omitted from the table. Years of Schooling 2007 Median Hourly Wage Gain for the Additional Year (percent) 12 13 13 14 14 16 16 19 17 21 18 22 (a) Use the given data to predict the median hourly wage gain for the 15th year of schooling. % (b) The actual wage gain for 15th year of schooling was 18%. How close was the actual value to the predicted wage gain percent from part (a)? (Use actual − predicted.)
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.
Years of Schooling | 2007 Median Hourly Wage Gain for the Additional Year (percent) |
---|---|
12 | 13 |
13 | 14 |
14 | 16 |
16 | 19 |
17 | 21 |
18 | 22 |
% |
% |
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