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, , 5, 2, 3, 1, 4. Which of the following gives appropriate hypotheses together with the mean and standard deviation of the differences?
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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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 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?
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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."