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