5.9 Multiple Choice Questions

4 min readdecember 8, 2021

AP Statistics 📊

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Multiple Choice Practice for Sampling Distributions

Welcome to Unit 5 AP Statistics Multiple Choice Questions! Grab some paper and a pencil 📄 to record your answers as you go. You can see how you did on the Unit 5 Practice Questions Answers and Review sheet once you're done. Don't worry, we have tons of resources available if you get stumped 😕 on a question. And if solo study is not your thing, join a group in Hours!
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Facts about the test: The AP Statistics exam has 40 multiple choice questions and you will be given 1 hour 30 minutes to complete the section. That means it should take you around 11 minutes to complete 5 questions.

*The following questions were not written by College Board and although they cover information outlined in the AP Statistics Course and Exam Description the formatting on the exam may be different.

1. Which of the following describes a sampling distribution?
A. A sampling distribution is a distribution of all parameter values from a given sample.
B. A sampling distribution is a distribution of all values from a given population.
C. A sampling distribution is a distribution of all values of a sample from a given population.
D. A sampling distribution is the distribution of values of a statistics for all possible samples of a given size from the same population.

2. What is the area under any given density curve, namely the normal distribution?
A. 0.5
B. 30
C. 0.1
D. 1

3. The central limit theorem states that for our sampling distribution for a population ________ to be approximately normal, the sample size must be _________.
A. mean, 10
B. mean, 30
C. proportion, 10
D. proportion, 30

4. If our sample statistic is ________________, it is a good estimator of our population parameter.
A. Biased
B. Variable
C. Unbiased
D. Quantitative

5. The mean of a sampling distribution for a population proportion is _______.
A. p
B. μ
C. σ
D. np

6. What requirement of our sample gives us evidence that the sampling distribution would be unbiased?
A. Low variability
B. Highly biased sample
C. Sample done with blocking
D. Randomly selected sample

7. Which of the following gives the standard deviation of a sampling distribution for means?
A. σ/sqrt(n)
B. σ/n
C. σ*n
D. 2nσ

8. The large counts condition is used to show that the sampling distribution for a population __________ is normal by stating that the number of successes and failures is at least _____.
A. mean, 10
B. mean, 30
C. proportion, 10
D. proportion, 30

9. A researcher takes a random sample of 80 students from a large local high school to determine their average number of days absent from school. In order to use the standard deviation formula, our school population size must be at least _______.
A. 30
B. 800
C. 1800
D. 10

10. When describing a sampling distribution, which of the following isn't necessary?
A. Shape/Approximately Normal
B. Unusual Features
C. Context
D. Spread

11. What symbol is used for a population mean?
A. ρ
B. σ
C. μ
D. x-bar

12. Which of the following would have the smallest standard deviation
A. Sample size of 100
B. Sample size of 10
C. Sample size of 1
D. Sample size of 5

13. A study group is looking to determine what proportion of US adults aged 75+ work out on a regular basis. To do so, they take a sample of 80 US adults aged 75+. Identify the population.
A. All US adults
B. 80 US adults aged 75+
C. All US adults aged 75+
D. All US citizens

14. A population distribution is strongly skewed right with 3 outliers. What would the sampling distribution look like with a sample size of 100?
A. Slightly skewed right
B. Strongly skewed right
C. Skewed left
D. Approximately normal

15. The average of all students on the ACT scores a 19 with a standard deviation of 1.5. What is the probability of randomly selecting a sample of 100 students where the average score is 30 or above?
A. 0.2
B. 0.4
C. 0
D. 0.1

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