1. 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  

               10                     12

                9                       9

                7                       8

                4                      10

                9                      11

               6                       7     

Use a .01 alpha level to test whetherthere is a gender difference in the mean number of hours worked,and answer the following questions:

1. Is this a one-tailed or two tailed test? How do you know?
2. What is the critical value of the test statistic?
3. What is the obtained value of the test statistic?
4. What decision about the null hypothesis does your test leadto?
5. What does this indicate about gender differences in hoursworked among the population working in this occupation?
6. Would your decision be different if you used an alpha level of.05? Explain.