Unit 7 AP Statistics
Authored by Robert Brown
Mathematics
10th - 12th Grade
CCSS covered
Used 340+ times
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This quiz comprehensively covers sampling distributions, a fundamental topic in AP Statistics that bridges descriptive statistics and statistical inference. The questions assess students' understanding of the sampling distribution of sample means and sample proportions, requiring mastery of the Central Limit Theorem, normal approximation conditions, and the relationship between sample size and variability. Students must demonstrate proficiency in calculating probabilities using the normal distribution, determining appropriate sample sizes for desired precision levels, and distinguishing between parameters and statistics. The mathematical complexity and conceptual depth indicate this material is appropriate for grade 11-12 students in an Advanced Placement Statistics course. Core concepts include understanding that sampling distributions become approximately normal under certain conditions, recognizing that larger sample sizes reduce variability, applying the formula for standard error of sample means and proportions, and interpreting the practical implications of bias versus variability in statistical estimation. Created by Robert Brown, a Mathematics teacher in US who teaches grade 10-12. This quiz serves as an excellent assessment tool for Unit 7 of AP Statistics, specifically targeting the sampling distributions unit that typically occurs in the second semester of the course. The questions can be effectively used as a formative assessment to gauge student understanding before moving into confidence intervals and hypothesis testing, or as a summative evaluation following instruction on sampling distributions. Teachers can deploy this quiz for homework practice to reinforce classroom learning, as a warm-up activity to review key concepts, or as a review session before the AP exam in May. The variety of question types—from conceptual understanding to computational problems—makes this quiz particularly valuable for identifying students who need additional support with specific aspects of sampling theory. This assessment aligns with AP Statistics standards covering sampling distributions (AP-STAT-4.A through 4.D), normal approximation conditions, and the Central Limit Theorem applications.
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A polling company is considering three sampling procedures over a specific population. Which of the following would have greatest variability?
80 samples of size 20
50 samples of size 50
20 samples of size 80
Tags
CCSS.HSS.IC.B.4
CCSS.HSS.ID.A.2
CCSS.HSS.ID.A.3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A company has 500 employees and wants to evaluate a proportion using the distribution of sample proportions and normal curve. Under which circumstance will they be able to do this?
n = 80, p = .2
n = 40, p = .2
n = 40, p = .9
n = 30, p = .4
Tags
CCSS.HSS.IC.A.1
CCSS.HSS.ID.A.4
CCSS.HSS.IC.B.4
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The average points scored in an NBA game is 220 with a standard deviation of 18. Determine the likelihood that a sample of 10 games would have a mean greater than 230.
0.0395
0.0817
0.2893
Cannot be determined
Tags
CCSS.HSS.IC.A.1
CCSS.HSS.ID.A.4
CCSS.HSS.MD.A.3
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The average points scored in an NBA game is 220 with a standard deviation of 18. Determine the likelihood that a random sample of 40 games would have a mean less than 225.
Cannot be determined
0.9605
0.6094
0.8563
Tags
CCSS.HSS.IC.A.1
CCSS.HSS.ID.A.4
CCSS.HSS.MD.A.3
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Bias is similar to ______ while variability is similar to _____.
precision, accuracy
accuracy, precision
skewed curves, normal curves
random samples, non-random samples
Tags
CCSS.HSS.ID.A.2
CCSS.HSS.ID.A.3
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
10% of people are left handed. If 800 people are randomly selected, find the likelihood that at least 12% of the sample is left handed.
0.0297
0.0106
0.0409
0.0816
Tags
CCSS.HSS.IC.A.1
CCSS.HSS.ID.A.4
CCSS.HSS.IC.B.4
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
10% of people are left handed. Of the following, what is the smallest sample size needed to be at least 90% sure that the sample proportion will be between 9% and 11%?
1500
2000
2500
3000
Tags
CCSS.HSS.IC.A.1
CCSS.HSS.ID.A.4
CCSS.HSS.IC.B.4
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