A study was conducted to develop a scale to measure stress in the workplace. Respondents were asked to rate 26 distinct work events. Each event was to be compared with the stress of the first week on the job, which was awarded an arbitrary score of 500. Sixty professional men and 41 professional women participated in the study. One of the stress events was “lack of support from the boss.”The men’s sample average rating of this event was 631 and the women’s sample average rating was 848.
Suppose the population standard deviations for men and for women both were about 100.Construct a 95% confidence interval to estimate the difference in the population mean scores on this event for men and women.