A machine fills bags of potato chips. The weights of the filled bags are approximately normally distributed with mean 16 ounces and standard deviation 0.3 ounce. Any bag that weighs less than 15.5 ounces is rejected by an automatic scale at the end of the production line. Which of the following is closest to the proportion of the filled bags that are rejected?
the normal distribution
Review the normal distribution for AP Statistics and try 2 free AP-style practice questions. 21 questions on this topic in AP Statistics · Unit 1 · Exploring One-Variable Data and Collecting Data.
9 topics174 multiple-choice8 free-response
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A bottling plant fills bottles of spring water. The volumes are approximately normally distributed with mean 500 milliliters (mL) and standard deviation 4 mL. In the plant's quality report, each inspected bottle is listed with the z-score of its volume. One bottle is listed with a z-score of . How many milliliters of water does this bottle contain?
Sample free-response question
A courier company recorded the delivery times, in minutes, for 10 randomly selected deliveries on each of two routes.
| Route | Delivery times (minutes) |
|---|---|
| North | 12, 15, 15, 16, 18, 19, 21, 22, 24, 38 |
| South | 14, 16, 17, 17, 18, 18, 19, 20, 20, 21 |
(a) Calculate the median delivery time for each route. Show your work.
(b) Is the North delivery time of 38 minutes an outlier? Justify your answer using the 1.5 x IQR rule. The North quartiles are Q1 = 15 and Q3 = 22.
(c) Compare the distributions of delivery times for the two routes. Address center and variability, in context.
(d) The company wants deliveries that rarely take a long time. Which route should it choose? Explain using the comparisons in part (c).
19 more questions on this topic
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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% sureReason: 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% sureReason: Graph shows relatively inelastic demand.
Evidence: Draws a steep demand curve.
Point 2: Earned
Grader confidence 88% sureReason: Correct new equilibrium price.
Evidence: Shifts supply left, P1 → P2.
Point 3: Not earned
Grader confidence 82% sureReason: With inelastic demand, a price increase raises total revenue.
Evidence: "Revenue goes down."