Please see week 3 worksheet on the excel attachment.
Complete the problems below and submit your work in an Excel document. Be sure to show all of your work and clearly label all calculations. All statistical calculations will use the Employee Salary Data Set.
1.Based on the sample data, can the average(mean) salary in the population be the same for each of the grade levels? (Assume equal variance, and use the Analysis Toolpak or the StatPlus:mac LE software function ANOVA.) Set up the input table/range to use as follows: Put all of the salary values for each grade under the appropriate grade label.Be sure to include the null and alternate hypothesis along with the statistical test and result.
2.The table and analysis below demonstrate a 2way ANOVA with replication. Please interpret the results.
3.Using our sample results, can we say that the compa values in the population are equal by grade and/or gender, and are independent of each factor?
4.Pick any other variable you are interested in and do a simple 2way ANOVA without replication. Why did you pick this variable and what do the results show?
5.Using the results for this week, What are your conclusions about gender equal pay for equal work at this point?
IDSalCompaMidAgeEESSERGRaiseDegGen1Gr1581.017573485805.70METhe 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 thirdparty 19241.043233285104.61MAtool that can be used (found on an answers Microsoft site) is:20341.0963144701614.80FB21761.1346743951306.31MFLike 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.24501.041483075913.80FD25241.0432341704040MA26241.043232295216.20FA27401.000403580703.91MC28751.119674495914.40FF29721.074675295505.40MF30491.0204845901804.30MD31241.043232960413.91FA32280.903312595405.60MB33641.122573590905.51ME34280.903312680204.91MB35241.043232390415.30FA36231.000232775314.30FA37220.956232295216.20FA38560.9825745951104.50ME39351.129312790615.50FB40251.086232490206.30MA41431.075402580504.30MC42241.0432332100815.71FA43771.1496742952015.50FF44601.0525745901605.21ME45551.145483695815.21FD46651.1405739752003.91ME47621.087573795505.51ME48651.1405734901115.31FE49601.0525741952106.60ME50661.1575738801204.60MEhttp://www.analystsoft.com/en/products/statplusmacle
Week 1.Describing the data.<Use right click on the row numbers at the left to insert rows below each question for your results and comments.>1 Using 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?2Sort 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:c. Why are the results different?4Find: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?a. Randomly selected person being a male in grade E?b. Randomly selected male being in grade E?
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