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sampling distributions for means

Review sampling distributions for means for AP Statistics and try 2 free AP-style practice questions. 19 questions on this topic in AP Statistics · Unit 5 · Sampling Distributions.

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Question 1

Three student researchers each simulate a sampling distribution of the sample mean by drawing 2,000 random samples from the same strongly skewed population, using sample sizes of n=5n=5, n=30n=30, and n=100n=100, respectively, for their three separate simulations. Which of the following correctly describes how the shapes of their three resulting simulated sampling distributions compare to one another?

Question 2

Recovery times after a certain knee surgery are approximately normally distributed with mean 42 days and standard deviation 6.2 days. Consider two probabilities: the probability that one randomly selected patient takes more than 45 days to recover, and the probability that the mean recovery time of 10 randomly selected patients is more than 45 days. Which of the following statements is true?

17 more questions on this topic

Full practice for AP Statistics · Unit 5 · Sampling Distributions: 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."

Sampling distributions for means: AP Statistics Practice Questions | S&D Academy