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matched pairs and paired data

Review matched pairs and paired data for AP Statistics and try 2 free AP-style practice questions. 14 questions on this topic in AP Statistics · Unit 7 · Inference for Quantitative Data: Means.

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Question 1

A winemaker wants to know whether aging in oak barrels raises the quality rating of a Chardonnay. She rated each of 10 batches of wine before aging and again after six months of aging, then computed the difference, after minus before, for each batch: 3, 1, 4, 2, −1-1, 5, 2, 3, 1, 4. Which of the following gives appropriate hypotheses together with the mean and standard deviation of the differences?

Question 2

An economist formed 18 matched pairs of cities, alike in population, median income and region, and put one program in one city of each pair and a second program in the other. For the 18 differences in unemployment reduction, the mean was −0.42-0.42 percentage point and the standard deviation was 1.18 percentage points. She tests whether the mean difference is 0, using a critical value of 2.110 with 17 degrees of freedom. What is the value of the test statistic, and what is the conclusion?

12 more questions on this topic

Full practice for AP Statistics · Unit 7 · Inference for Quantitative Data: Means: 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."

Matched pairs and paired data: AP Statistics Practice Questions | S&D Academy