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