Equal Pay Week 774
30
ID Sal Compa Mid Age EES SER G Raise Deg Gen1 1 58 1.017 57 34 85 8 0 5.7 0 M 2 27 0.870 31 52 80 7 0 3.9 0 M 3 34 1.096 31 30 75 5 1 3.6 1 F 4 66 1.157 57 42 100 16 0 5.5 1 M 5 47 0.979 48 36 90 16 0 5.7 1 M 6 76 1.134 67 36 70 12 0 4.5 1 M 7 41 1.025 40 32 100 8 1 5.7 1 F 8 23 1.000 23 32 90 9 1 5.8 1 F 9 77 1.149 67 49 100 10 0 4 1 M 10 22 0.956 23 30 80 7 1 4.7 1 F 11 23 1.000 23 41 100 19 1 4.8 1 F 12 60 1.052 57 52 95 22 0 4.5 0 M 13 42 1.050 40 30 100 2 1 4.7 0 F 14 24 1.043 23 32 90 12 1 6 1 F 15 24 1.043 23 32 80 8 1 4.9 1 F 16 47 1.175 40 44 90 4 0 5.7 0 M 17 69 1.210 57 27 55 3 1 3 1 F 18 36 1.161 31 31 80 11 1 5.6 0 F 19 24 1.043 23 32 85 1 0 4.6 1 M 20 34 1.096 31 44 70 16 1 4.8 0 F 21 76 1.134 67 43 95 13 0 6.3 1 M 22 57 1.187 48 48 65 6 1 3.8 1 F 23 23 1.000 23 36 65 6 1 3.3 0 F 24 50 1.041 48 30 75 9 1 3.8 0 F 25 24 1.043 23 41 70 4 0 4 0 M 26 24 1.043 23 22 95 2 1 6.2 0 F 27 40 1.000 40 35 80 7 0 3.9 1 M 28 75 1.119 67 44 95 9 1 4.4 0 F 29 72 1.074 67 52 95 5 0 5.4 0 M 30 49 1.020 48 45 90 18 0 4.3 0 M 31 24 1.043 23 29 60 4 1 3.9 1 F 32 28 0.903 31 25 95 4 0 5.6 0 M 33 64 1.122 57 35 90 9 0 5.5 1 M 34 28 0.903 31 26 80 2 0 4.9 1 M 35 24 1.043 23 23 90 4 1 5.3 0 F 36 23 1.000 23 27 75 3 1 4.3 0 F 37 22 0.956 23 22 95 2 1 6.2 0 F 38 56 0.982 57 45 95 11 0 4.5 0 M 39 35 1.129 31 27 90 6 1 5.5 0 F 40 25 1.086 23 24 90 2 0 6.3 0 M
-
Upload
michaelkattan -
Category
Documents
-
view
311 -
download
4
description
77
Transcript of Equal Pay Week 774
DataIDSalCompaMidAgeEESSERGRaiseDegGen1Gr1581.017573485805.70METhe ongoing question that the weekly assignments will focus on is: Are males and females paid the same for equal work (under the Equal Pay Act)? 2270.870315280703.90MBNote: to simplfy the analysis, we will assume that jobs within each grade comprise equal work.3341.096313075513.61FB4661.15757421001605.51METhe column labels in the table mean:5470.9794836901605.71MDID Employee sample number Sal Salary in thousands 6761.1346736701204.51MFAge Age in yearsEES Appraisal rating (Employee evaluation score)7411.0254032100815.71FCSER Years of serviceG Gender (0 = male, 1 = female) 8231.000233290915.81FAMid salary grade midpoint Raise percent of last raise9771.149674910010041MFGrade job/pay gradeDeg (0= BS\BA 1 = MS)10220.956233080714.71FAGen1 (Male or Female)Compa - salary divided by midpoint, a measure of salary that removes the impact of grade11231.00023411001914.81FA12601.0525752952204.50METhis data should be treated as a sample of employees taken from a company that has about 1,000 13421.0504030100214.70FCemployees using a random sampling approach.14241.04323329012161FA15241.043233280814.91FA16471.175404490405.70MCMac Users: The homework in this course assumes students have Windows Excel, and17691.2105727553131FEcan load the Analysis ToolPak into their version of Excel.18361.1613131801115.60FBThe analysis tool pak has been removed from Excel for Windows, but a free third-party 19241.043233285104.61MAtool that can be used (found on an answers Microsoft site) is:20341.0963144701614.80FBhttp://www.analystsoft.com/en/products/statplusmacle21761.1346743951306.31MFLike the Microsoft site, I make cannot guarantee the program, but do know that 22571.187484865613.81FDStatplus is a respected statistical package.You may use other approaches or tools23231.000233665613.30FAas desired to complete the assignments.24501.041483075913.80FD25241.0432341704040MA26241.043232295216.20FA27401.000403580703.91MC28751.119674495914.40FF29721.074675295505.40MF30491.0204845901804.30MD31241.043232960413.91FA32280.903312595405.60MB33641.122573590905.51ME34280.903312680204.91MB35241.043232390415.30FA36231.000232775314.30FA37220.956232295216.20FA38560.9825745951104.50ME39351.129312790615.50FB40251.086232490206.30MA41431.075402580504.30MC42241.0432332100815.71FA43771.1496742952015.50FF44601.0525745901605.21ME45551.145483695815.21FD46651.1405739752003.91ME47621.087573795505.51ME48651.1405734901115.31FE49601.0525741952106.60ME50661.1575738801204.60ME
Week 1Week 1.Describing the data.
1Using the Excel Analysis ToolPak function descriptive statistics, generate and show the descriptive statistics for each appropriate variable in the sample data set.a. For which variables in the data set does this function not work correctly for? Why?
2 Sort the data by Gen or Gen 1 (into males and females) and find the mean and standard deviation for each gender for the following variables:sal, compa, age, sr and raise.Use either the descriptive stats function or the Fx functions (average and stdev).
3What is the probability for a:a. Randomly selected person being a male in grade E?b. Randomly selected male being in grade E?c. Why are the results different?
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?
5Based 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?
Week 2 Week 2Testing means with the t-testFor questions 2 and 3 below, be sure to list the null and alternate hypothesis statements. Use .05 for your significance level in making your decisions.For full credit, you need to also show the statistical outcomes - either the Excel test result or the calculations you performed.
1Below are 2 one-sample t-tests comparing male and female average salaries to the overall sample mean. Based on our sample, how do you interpret the results and what do these results suggest about the population means for male and female salaries?MalesFemalesHo: Mean salary = 45Ho: Mean salary = 45Ha: Mean salary =/= 45Ha: Mean salary =/= 45Note when performing a one sample test with ANOVA, the second variable (Ho) is listed as the same value for every corresponding value in the data set.t-Test: Two-Sample Assuming Unequal Variancest-Test: Two-Sample Assuming Unequal VariancesSince the Ho variable has Var = 0, variances are unequal; this test defaults to 1 sample t in this situationMaleHoFemaleHoMean5245Mean3845Variance3160Variance334.66666666670Observations2525Observations2525Hypothesized Mean Difference0Hypothesized Mean Difference0df24df24t Stat1.9689038266t Stat-1.9132063573P(T
