Question 6.122

6.122 Job satisfaction.

A study of job satisfaction of Croatian employees was conducted on a research sample of 4000+ employees.24 The researcher developed a metric for overall job satisfaction based on the rating of numerous factors, including nature of work, top management, promotion, pay, status, working conditions, and others. The job satisfaction metric ranges from 1 to 5. Here is a table found in the report:

Mean Standard
deviation		 Standard
error of mean
Men 2261 3.4601 0.86208 ?
Women 1975 3.5842 0.75004 ?

Given the large sample sizes, we can assume that the sample standard deviations are the population standard deviations.

  1. Determine the two missing standard error of mean values. As we note in Chapter 7, the “standard error” for estimating the mean is . But because the sample sizes of the study are large, is approximately equal to the population standard deviation .
  2. Compute 95% confidence intervals for the mean job satisfaction for men and for women.
  3. In the next chapter, we describe the confidence interval for the difference between two means. For now, let’s compare the men’s and women’s confidence intervals to arrive to a preliminary conclusion. In the study, the researcher states: “The results showed that there was a difference in job satisfaction between men and women.” Are the confidence intervals from part (b) consistent with this conclusion? Explain your answer.