A study compares three fertilizer types on crop yield. A farmer has 30 plots of land of varying soil quality. A researcher randomly assigns 10 plots to each fertilizer type using random number assignment. Why is random assignment to plots important here, given that soil quality varies?
introduction to experimental design
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A high school counselor wants to know whether a new after-school tutoring program improves students' scores on a standardized math test. Rather than randomly assigning students to treatment groups, she assigns all students who attend the morning study hall to the tutoring program and all students who attend the afternoon study hall to receive no tutoring. Suppose students who choose the morning session are, on average, substantially more academically motivated than those who choose the afternoon session. If motivation is confounded with tutoring assignment in this study, what is most likely true about the results?
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Answer, then see why
The price of gasoline rises 10% and the quantity demanded falls 5%. What happens to total revenue?
Not quite. The answer is B.
Why the other options are wrong
AI grading for free-response
Write your FRQ answer and get it scored point by point against the AP rubric, with the line from your answer that earned or missed each point.
Reason: Correctly identifies demand for gasoline as inelastic.
Evidence: "The price of gasoline rises and the quantity falls only a little."
Reason: Graph shows relatively inelastic demand.
Evidence: Draws a steep demand curve.
Reason: Correct new equilibrium price.
Evidence: Shifts supply left, P1 → P2.
Reason: With inelastic demand, a price increase raises total revenue.
Evidence: "Revenue goes down."