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introduction to experimental design

Review introduction to experimental design for AP Statistics and try 2 free AP-style practice questions. 23 questions on this topic in AP Statistics · Unit 3 · Collecting Data.

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Question 1

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?

Question 2

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?

21 more questions on this topic

Full practice for AP Statistics · Unit 3 · Collecting Data: timed tests, step-by-step explanations for every answer, and AI grading for free-response questions.

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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.

Question 13 / 4 pts
Part a1 / 1 pts
Point 1: Earned
Grader confidence 94% sure

Reason: Correctly identifies demand for gasoline as inelastic.

Evidence: "The price of gasoline rises and the quantity falls only a little."

Part b2 / 3 pts
Point 1: Earned
Grader confidence 91% sure

Reason: Graph shows relatively inelastic demand.

Evidence: Draws a steep demand curve.

Point 2: Earned
Grader confidence 88% sure

Reason: Correct new equilibrium price.

Evidence: Shifts supply left, P1 → P2.

Point 3: Not earned
Grader confidence 82% sure

Reason: With inelastic demand, a price increase raises total revenue.

Evidence: "Revenue goes down."

Introduction to experimental design: AP Statistics Practice Questions | S&D Academy