4 Find:
a. The z score for each male salary, based on only the male salaries.
b. The z score for each female salary, based on only the female salaries.
c. The z score for each female compa, based on only the female compa values.
d. The z score for each male compa, based on only the male compa values.
e. What do the distributions and spread suggest about male and female salaries?
Why might we want to use compa to measure salaries between males and females?
5 Based on this sample, what conclusions can you make about the issue of male and female pay equality?
Are all of the results consistent with your conclusion? If not, why not?
No sample data given.
Z = (score-mean)/SD
To find the z-score for each male salary, based on only the male salaries, you need the following information:
1. Calculate the mean (μ) and standard deviation (σ) of the male salaries.
2. Subtract the mean from each male salary.
3. Divide the result from step 2 by the standard deviation.
Repeat this process for each male salary to calculate the z-score for each.
Similarly, to find the z-score for each female salary, based on only the female salaries, you need to follow the same steps:
1. Calculate the mean (μ) and standard deviation (σ) of the female salaries.
2. Subtract the mean from each female salary.
3. Divide the result from step 2 by the standard deviation.
Repeat this process for each female salary to calculate the z-score for each.
To find the z-score for each female compa value, based on only the female compa values, follow these steps:
1. Calculate the mean (μ) and standard deviation (σ) of the female compa values.
2. Subtract the mean from each female compa value.
3. Divide the result from step 2 by the standard deviation.
Repeat this process for each female compa value to calculate the z-score for each.
To find the z-score for each male compa value, based on only the male compa values, follow the same steps as above:
1. Calculate the mean (μ) and standard deviation (σ) of the male compa values.
2. Subtract the mean from each male compa value.
3. Divide the result from step 2 by the standard deviation.
Repeat this process for each male compa value to calculate the z-score for each.
Evaluating the distributions and spread of male and female salaries can provide insights into the similarities or differences between the two groups. If the distributions are similar and have similar spreads, it may suggest that there is no significant difference in salaries between males and females. However, if the distributions differ significantly or have different spreads, it may indicate inequality or disparity in salaries.
Using compa (comparatio measure) to measure salaries between males and females can be beneficial for several reasons. Compas can provide a standardized way to compare salaries by taking into account factors such as job levels, years of experience, and education. It allows for a more accurate comparison between male and female salaries by accounting for relevant variables that may influence compensation.
Based on this sample, you can draw conclusions about the issue of male and female pay equality by analyzing the calculated z-scores and the distributions of male and female salaries. If the z-scores and distributions indicate similar patterns and spreads, it suggests that there may be pay equality between males and females. However, if there are noticeable differences in the z-scores and distributions, it may suggest inequality.
Not all results may be consistent with the conclusion. It is important to consider the sample size, variability, and other factors that may influence the findings. Additionally, this analysis is based on a sample, which may not accurately represent the entire population. It is essential to conduct further research and analysis to make more generalizable conclusions about male and female pay equality.