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The midterm exam for economics 160, fall 2004. The exam covers topics such as randomized controlled experiments, percentiles, and regression analysis. Questions require calculations and detailed explanations.
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Econ 160 Midterm One Fall 2004 Name:________________________________________ Note: The appropriate weighting is assigned to each question (including the appropriate time). Detailed answers are expected to all questions (that is, if you do not provide explanations when asked you will not receive full credit). Round your calculations to one decimal place. Total Time: 50 Minutes
(20% - 10 Minutes) (10pts for each part) (a) Describe a randomized controlled experiment. What role do confounding factors play in these experiments?
(b) Describe in detail how individuals are assigned to control and treatment groups in a randomized controlled experiment. What other way could be considered, and why? State one reason why randomization has proven to be a better method to construct the control and treatment groups.
(b) (15pts) i) Determine the 75th^ percentile for fathers’ height. ii) Determine the 75th^ percentile for sons’ height.
(50% - 25 Minutes) In a study of the relationship between income and education, 555 California males age 25 – 29 were sampled in
Average education = 12.5yrs SD = 4 yrs Average income = $21,500 SD = $16,000, r = 0.
(a) (15pts) Using the regression method , predict the income for a male whose number of years of education is 16yrs?
(d) (20pts) Determine the 75 th^ percentile for the predicted income of a male who has 16 years of education.