Winter 2004
Problem Set 5
Due April 7, 2004
1. Shift work and health. The data in Table 1 come from a survey of Canadian workers who work evening and regular shifts. The percentages in the table refer to the percentage of workers, of each characteristic, who report psychosocial difficulties.
Table
1. Psychosocial difficulties of men
and women workers with different types of work schedules. Per cent of each group reporting difficulty
Characteristic of worker and psychosocial problem 
Evening shift 
Regular shift – per cent 

Per cent 
Sample size 

Men – high stress 
44% 
137 
33% 
Married men – problems with partner 
36% 
93 
16% 
Women – high stress 
41% 
149 
43% 
Married women – problems with partner 
29% 
99 
21% 
Source: Margot Shields, “Shift
work and health,” Statistics Canada, Health
Reports, Volume 13, Number 4, (catalogue number 82003XPE), Tables 1 and
2.
2. Television and internet use. The data in Table 2 come from Saskatchewan respondents aged 1524 surveyed in Statistics Canada, 2000 General Social Survey, Cycle 14: Access to and Use of Information Communication Technology. Use these data to answer the following for Saskatchewan residents aged 1524:
A researcher claims hours of television use and of internet use at work and at home each average 11 hours per week. Test the researcher’s claim for (i) watching television and (ii) use of internet at work (0.01 significance level). Briefly explain how and why your conclusions differ.
Table 2. Weekly hours of
television and internet use, Saskatchewan respondents aged 1524 who used each
service, General Social Survey, Cycle 14,
2000
Variable 
Mean hours per week 
Standard deviation of hours per week 
Sample size 
Watch television 
13.46 
10.18 
180 
Use internet at home 
9.03 
9.61 
63 
Use internet at work 
7.60 
10.80 
15 
Use internet at school 
3.98 
3.89 
45 
3. Years of education. The data for this question come from the Saskatchewan respondents in the Survey of Labour and Income Dynamics (SLID) 2000, conducted by Statistics Canada. Data refer to the adult population, aged 15 or more.
a. The sample of 3,862 Saskatchewan respondents in the survey reported their mean years of education as 12.44 years, with a standard deviation of 3.14 years. At the 0.02 level of significance, test whether this provides evidence that the mean years of education for all Saskatchewan adults differs from 12 years.
b. Mean education was 13.73 years and the standard deviation was 2.80 years for a small sample of 20 respondents in the SLID survey. Do these results provide sufficient evidence to conclude that the mean education of all Saskatchewan adults exceeds 12 years? (0.05 level of significance).
c. In a few sentences, compare the conclusions of a. and b., commenting on any possible errors in the conclusions.
4. Computer problem. Use the SSAE98 data set (in folder t:\students\public\201) to obtain the following. Print out the results for the a. parts of each question and write the answers to the b. parts on the printout. Alternatively, use Copy objects to move the tables into a Word for Windows file, write the answers to the b. parts there, and then hand in.
1. a. Obtain the following using AnalyzeCompare MeansOneSample Ttest.
i. Test whether the mean weekly hours undergraduates spent at religious and spiritual activities differs from that of Saskatchewan residents as a whole. From Statistics Canada, General Social Survey of Canada: 1998 – Cycle 12, Saskatchewan residents report spending a mean of 1.04 hours weekly at religious services, meetings, prayer, etc.
ii. From the same survey, the mean household income for all Saskatchewan residents was $55,107 in 1998. Test whether the mean income for the households or families of students exceeds the provincial mean.
b. Explain the findings from part a. In doing this, make sure you mention the null and research hypotheses, the significance level, and your conclusion.
2. a. Use AnalyzeCompare MeansOneSample Ttest to test whether the mean weekly study hours for University of Regina undergraduates (i) exceeds 15 hours, (ii) differs from 16 hours, and (iii) differs from 17 hours. b. Write a short description of the results, commenting in particular on (ii) and (iii).
3. a. Use AnalyzeDescriptive StatisticsExplore with Statistics selected and Plots deselected to obtain a 95% interval estimate for mean weekly study hours for all University of Regina undergraduates. b. Explain whether the interval estimate is consistent with results from question 2.
4. a. Obtain a crosstabulation of variable V4 (gays and lesbians treated as married), crossclassified by sex of respondent, using Analyze—Descriptive Statistics—Crosstabs with chisquare selected in Statistics. You may also wish to request the expected values or column percentages in Cells. (It may also help to understand this relationship by using Analyze—Compare Means—Means to request the means of V4 by sex of respondent). b. Explain your findings from the table and the chisquare test, commenting on whether and how male and female undergraduates differ in their responses to V4.