A sociologist studied random samples of full-time employees in a particular occupation – six women and...

A sociologist studied random samples of full-time employees in a particular occupation – six women and six men – to determine whether gender has an influence on the average (mean) number of hours 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 whether there 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 lead to?
What does this indicate about gender differences in hours worked among the population working in this occupation?
Would your decision be different if you used an alpha level of .05? Explain.

Expert Solution

orchestra answered 2 years ago

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