AA.DSR.2.6
Model sample-to-sample variability in sampling distributions of a statistic using simulations taken from a given population.
Example Problems
A credit union claims that 35% of its roughly 70,000 cardholders use automatic payments. A financial blogger takes a simple random sample of 280 cardholders and asks about autopay.
Assuming the credit union's claim is correct, what is the probability that the sample result is within 4 percentage points of the 35% claim?
Round your answer to the nearest hundredth.
Assuming the credit union's claim is correct, what is the probability that the sample result is within 4 percentage points of the 35% claim?
Round your answer to the nearest hundredth.
A newsletter team claims that 47% of its more than 200,000 subscribers opened the most recent email. An auditor takes a simple random sample of 160 subscribers and checks whether they opened it.
Assuming the team's 47% claim is correct, what is the approximate probability that more than 50% of the sample opened the email?
Round your answer to the nearest hundredth.
Assuming the team's 47% claim is correct, what is the approximate probability that more than 50% of the sample opened the email?
Round your answer to the nearest hundredth.
A farmers' market manager says that 70% of vendors accept credit or debit cards. Suppose that we took random samples of vendors from this population and computed the proportion of vendors in each sample who accepted cards. We can assume the manager's claim is true.
What will be the shape of the sampling distribution of : skewed to the left, skewed to the right, approximately normal, or uniform?
What will be the shape of the sampling distribution of : skewed to the left, skewed to the right, approximately normal, or uniform?

1-on-1 AI tutoring aligned to AA.DSR.2.6. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →