Question
A researcher is interested in examining if males and females in the US work, on average, different number of hours per week. She randomly sampled
A researcher is interested in examining if males and females in the US work, on average, different number of hours per week. She randomly sampled and surveyed 125 men and 110 women and found the average number of hours worked per week as follows:
Males: mean = 44 hours, standard deviation = 2.21
Females: mean = 39 hours, standard deviation = 2.42
1.State the null and research hypotheses for testing the difference between the mean number of hours worked for men and women.
2. Calculate the standard error of the mean. Which answer is the closest to the standard error of the mean you calculated?
3. Calculate the test statistic and choose the answer closest to your calculation:
4. Calculate the degrees of freedom
5. If we set alpha at 0.05 for a two-tailed test, what is the critical value based on your degrees of freedom?
6. Based on your test statistic and critical value, what is your decision?
- Reject the null hypothesis OR Fail to reject the null hypothesis (i.e. accept the null hypothesis).
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