SOLUTION: As a student of ECON1005, suppose you were asked to assist a co-worker in investigating whether there is an association between gender and annual salary of researchers in your co

Question 990517: As a student of ECON1005, suppose you were asked to assist a co-worker in investigating whether
there is an association between gender and annual salary of researchers in your country.
(a) Define the population of this study.
Let us suppose that your co-worker used stratified random sampling to select 35 researchers (15
females and 20 males) from the population of 490 researchers.
(b) Calculate the number of female and male researchers in the population. Ensure that all
relevant working or explanation is shown.
MINITAB was used to generate stem-and-leaf diagrams for the salaries of both the female and male
researchers. See Exhibit 1 below.
Exhibit 1
Stem-and-Leaf Display: Salary Female, Salary Male
Stem-and-leaf of Salary Female N = 15
Leaf Unit = 1000.0
1 5 8
5 6 1345
(3) 7 148
7 8 389
4 9 2245
(c) Calculate the mean salary for both the female and the male researchers. All relevant working
must be clearly shown.
(d) Calculate the standard deviation of the salaries for both the female and the male researchers.
All relevant working must be clearly shown.
(e) Comment on your answers for parts (c) and (d), in relation to the purpose of your study, that
is, the association between gender and annual salary of researchers in your country.
continue overleaf�./
Stem-and-leaf of Salary Male N = 20
Leaf Unit = 1000.0
1 5 8
2 6 4
7 7 57789
(4) 8 3377
9 9 044677
3 10 034 ECON1005 � Introduction to Statistics � Course Information. Academic Year 2010/2011, Semester 2
Page 20 of 24
MINITAB was used to generate box-and-whisker diagrams for the salaries of both the female and
male researchers. See Exhibit 2 below.
Exhibit 2
S alary Male
S alary Female
60000 70000 80000 90000 100000 110000
A nnual Salary (US)
Boxplot of Salary Female, Salary Male
(f) With reference to the box-and-whisker diagrams, compare the salaries of the researchers
selected in your sample, by gender. Ensure that you comment on the skewness, the median,
the interquartile range, the minimum and the maximum values of both diagrams.
MINITAB was used to generate the descriptive statistics for all the 35 researchers selected in the
sample. See Exhibit 3 below.
Exhibit 3
Descriptive Statistics: ResearcherSalary
Variable N N* Mean SE Mean TrMean StDev Minimum Q1 Median Q3
Salary 35 0 82951 2266 83200 13404 58100 74800 83800 94300
Variable Maximum
Salary 104500
(g) What does TrMean represent? Comment on the value of the TrMean and show how this
value was calculated.
continue overleaf�/ ECON1005 � Introduction to Statistics � Course Information. Academic Year 2010/2011, Semester 2
Page 21 of 24
(h) For further analysis, a table is drawn showing the number of females and the number of males
whose salaries were below the median salary and equal to or above the median salary.
Complete the table below:
Salary < $83800 Salary = $83800 Total
Female
Male
Total 35
(i) Using your table in part (h), determine the probability that a randomly selected researcher
from your sample, is a female OR has a salary < $83800.
(j) Using your table in part (h), determine the probability that a randomly selected researcher

Answer by cookielips(1) (Show Source): You can put this solution on YOUR website!

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