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## Research Methods/Sources

Homework #3 requires you to complete five questions related to our lectures on “Sampling,
In addition, you must fully explain the substantive results from your findings. A mathematical
answer is not enough to get credit. You must write a substantive response
as if you were explaining the result in a journal article.
1. What is the Central Limit Theorem (CLM)? Explain the logic of the CLM. How does the CLM
relate to the concepts of population, sample, parameter, statistics, representative, and EPSEM?
(Your answer should be at least one half page, i.e. two paragraphs.)
2. A sample of 101 countries were selected for a study on gender and public policy. In the sample,
the mean number of days paid that a woman could take for maternity leave was 138. The standard
deviation was 32. Calculate a 99% (α = 0.01) confidence interval for the number of paid maternity
3. The General Social Survey (GSS) commonly has a question that asks American respondents
about the number of sexual partners they have had over their lifetime. Let’s say that in 2016, the
mean number of sexual partners was 8 with a standard deviation of 2.3. The number of participants
in the survey were 231. Calculate a 95% (α = 0.05) confidence interval for number of sexual