Respondent Sex Mean Hours Worked Last Week Standard Deviation N Male 44.60 14.969 670 Female 38.15 13.276 711 6. What proportion of females worked less than 40 hours per week? a. How many people in the sample does that correspond to? 7. What percentage of males worked between 40 and 50 hours per week? a. How many people in the sample does that correspond to? 8. What number of hours worked among females corresponds with a Z score of -2.00?
For questions 6 through 11, refer to the following table, representing responses from the 2018 GSS:
| Respondent Sex | Mean Hours Worked Last Week | Standard Deviation | N |
| Male | 44.60 | 14.969 | 670 |
| Female | 38.15 | 13.276 | 711 |
6. What proportion of females worked less than 40 hours per week?
a. How many people in the sample does that correspond to?
7. What percentage of males worked between 40 and 50 hours per week?
a. How many people in the sample does that correspond to?
8. What number of hours worked among females corresponds with a Z score of -2.00?
9. Calculate the number of hours worked last week that corresponds to the 95th percentile for each sex.
a. If you were going to calculate the 75th percentile, what Z value would you use?
10. Calculate the standard error for both males and females.
a. What are you using for sigma, and why?
11. Calculate the 95% confidence interval for each sex. Can you say with 95% confidence that they are different? Why or why not?
a. If you were calculating a 75% Confidence Interval, what Z would you use? Is this the same Z or different Z from #8? Why?
12. From a sample of 1,542 respondents to the 2018 GSS, 38.3% say they that we should remove racist books from the library. Estimate the proportion of all Americans who believe we should remove racist books from the library at the 95% confidence interval.
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