- A sociologist studied random samples of full-time employees ina particular occupation – six women and six men – to determinewhether gender has an influence on the average (mean) number ofhours worked per day. She obtained the following results:
         Women               Men Â
               10                     12
                9                       9
                7                       8
                4                      10
                9                      11
               6                       7    Â
Use a .01 alpha level to test whetherthere is a gender difference in the mean number of hours worked,and answer the following questions:
- Is this a one-tailed or two tailed test? How do you know?
- What is the critical value of the test statistic?
- What is the obtained value of the test statistic?
- What decision about the null hypothesis does your test leadto?
- What does this indicate about gender differences in hoursworked among the population working in this occupation?
- Would your decision be different if you used an alpha level of.05? Explain.
