A study was conducted to develop a scale to measure stress inthe workplace. Resp
ID: 2954841 • Letter: A
Question
A study was conducted to develop a scale to measure stress inthe workplace. Respondents were asked to rate 26 distinct workevents. Each event was to be compared with the stress of the firstweek on the job, which was awarded an arbitrary score of 500. Sixtyprofessional men and 41 professional women participated in thestudy. One of the stress events was lack of support from theboss. The mens sample average rating of this eventwas 631 and the womens sample average rating was 848.Suppose the population standard deviations for men and for womenboth were about 100. Construct a 95% confidence interval toestimate the difference in the population mean scores on this eventfor men and women.
Round the answers to one decimal place.
1 2
The tolerance is +/- 0.5.
Explanation / Answer
Men: n1=60, xbar1=631, =100 Women: n2=41, xbar2=848, =100 =0.05, Z(0.025)=1.96 (check normal table) The 95% CI is (xbar1 - xbar2) ± Z*(^2/n1 + ^2/n2) --> (631-848) ± 1.96*sqrt(100^2/60 + 100^2/41) --> ( -256.7145, -177.2855)
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