AP Stats: Chapter 5 Review - Experimental Design and Sampling, Slides of Statistics

A review for chapter 5 of ap stats, focusing on experimental design and sampling. It includes multiple choice and free response questions. Students will learn about principles of experimentation, random sampling, bias in surveys, and designing experiments. They will also practice interpreting data and making predictions.

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AP Stats Name __________________________________________________________
Chapter 5 Review
Part I - Multiple Choice (Questions 1-10) - Circle the answer of your choice.
1. Which one of the following is not a principle of experimentation?
(a) Randomly allocating experimental units to treatments.
(b) Stratifying the experimental units into groups of similar individuals and applying different treatments to each stratum.
(c) Using double blindness to eliminate bias.
(d) Replicating to measure overall experimental error and increase precision.
(e) Using a control group to determine whether treatment really works.
2. A simple random sample of size n is selected in such a way that
(a) Each member of the population has an equal chance of being selected.
(b) Each member of the population is given an opportunity to respond to the survey.
(c) All samples of size n have the same chance of being selected.
(d) The probability of selecting any sample is known to be
7rand
.
(e) The sample is guaranteed to represent the entire population.
3. In sample surveys, bias can be controlled by all of the following except
(a) Using a probability or chance sampling procedure.
(b) Wording questions so they are not confusing or misleading.
(c) Carefully training and supervising interviewers.
(d) Prompting respondents so that they give correct responses.
(e) Reducing non-response and undercoverage.
4. A graduate student conducts a study to determine whether a new activity-based method is better than the traditional lecture of
teaching statistics. He found two teachers to help him in his study for one semester. Mr. Dull volunteered to continue teaching with
traditional lectures and Ms. Perky agreed to try the new activity-based method. Each teacher planned to teach two sections of
approximately forty students each for adequate replication. At the end of the semester, all sections would take the same final exam and
their scores would be compared. What is the treatment variable in this study?
(a) Teacher
(b) Section of the Course
(c) Teaching Method
(d) Final Exam Score
(e) Student
5. In a study on the effect of reinforcement on learning from programmed text, two experimental treatments are planned: reinforcement
given after every frame of programmed text or reinforcement given after every three frames. Which one of the following control
groups would serve best in this study?
(a) A group which does not read the programmed text material.
(b) A group that reads the programmed material in prose formats.
(c) A group which reads the programmed material but does not receive reinforcement.
(d) A group that reads the programmed text material and reinforcement is given at random.
(e) A group which watches the video of the programmed material.
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AP Stats Name __________________________________________________________ Chapter 5 Review

Part I - Multiple Choice (Questions 1-10) - Circle the answer of your choice.

  1. Which one of the following is not a principle of experimentation?

(a) Randomly allocating experimental units to treatments. (b) Stratifying the experimental units into groups of similar individuals and applying different treatments to each stratum. (c) Using double blindness to eliminate bias. (d) Replicating to measure overall experimental error and increase precision. (e) Using a control group to determine whether treatment really works.

  1. A simple random sample of size n is selected in such a way that

(a) Each member of the population has an equal chance of being selected. (b) Each member of the population is given an opportunity to respond to the survey. (c) All samples of size n have the same chance of being selected. (d) The probability of selecting any sample is known to be 7  rand. (e) The sample is guaranteed to represent the entire population.

  1. In sample surveys, bias can be controlled by all of the following except

(a) Using a probability or chance sampling procedure. (b) Wording questions so they are not confusing or misleading. (c) Carefully training and supervising interviewers. (d) Prompting respondents so that they give correct responses. (e) Reducing non-response and undercoverage.

  1. A graduate student conducts a study to determine whether a new activity-based method is better than the traditional lecture of teaching statistics. He found two teachers to help him in his study for one semester. Mr. Dull volunteered to continue teaching with traditional lectures and Ms. Perky agreed to try the new activity-based method. Each teacher planned to teach two sections of approximately forty students each for adequate replication. At the end of the semester, all sections would take the same final exam and their scores would be compared. What is the treatment variable in this study?

(a) Teacher (b) Section of the Course (c) Teaching Method (d) Final Exam Score (e) Student

  1. In a study on the effect of reinforcement on learning from programmed text, two experimental treatments are planned: reinforcement given after every frame of programmed text or reinforcement given after every three frames. Which one of the following control groups would serve best in this study?

(a) A group which does not read the programmed text material. (b) A group that reads the programmed material in prose formats. (c) A group which reads the programmed material but does not receive reinforcement. (d) A group that reads the programmed text material and reinforcement is given at random. (e) A group which watches the video of the programmed material.

  1. We say that the design of a study is biased if which of the following is true?

(a) A racial or sexual preference is suspected. (b) Random placebos have been used. (c) The research designer has received a grant from a special interest group. (d) The correlation is greater than 1 or less than – 1. (e) Certain outcomes are systematically favored.

  1. Which of the following are true statements?

I. Voluntary response samples often over represent people with strong opinions. II. Convenience samples often lead to undercoverage bias. III. Questionnaires with nonneutral wording are likely to have response bias.

(a) I and II (b) I and III (c) II and III (d) I, II, and III (e) None of the above gives the true set of responses.

  1. To survey the opinions of bleacher fans at Wrigley Field, a surveyor plans to select every one-hundredth fan entering the bleachers one afternoon. Will this result in a random sample?

(a) Yes, because each bleacher fan has the same chance of being selected. (b) Yes, but only if there is a single entrance to the bleachers. (c) Yes, because the 99 out of 100 bleacher fans that are not selected will form a control group. (d) Yes, because this is an example of systematic sampling, which is a special case of random sampling. (e) No, because each fan does not have the same chance of being selected.

  1. What fault do all these sampling designs have in common?

I. The Wall Street Journal plans to make a prediction for a presidential election based on a survey of its readers. II. A radio talk show asks people to phone in their views on whether the United States should pay off its huge debt to the United Nations. III. A police detective is interested in determining a sample of high school students and interviews each one about any illegal drug use by the student during the past year.

(a) All the designs make improper use of stratification. (b) All the designs have errors that can lead to strong bias. (c) All the designs confuse association with cause and effect. (d) None of the designs satisfactorily controls for sampling error. (e) None of the designs makes use of chance in selecting a sample.

  1. The following students are available to serve on the Student Procrastination Committee.
  2. Ally 2. Benji 3. Chad 4. Donald 5. Eli 6. Frannie
  3. Gina 8. Hank 9. Ivana 10. Jan 11. Kyle 12. Lana
  4. Morris 14. Norm 15. Olive 16. Patti 17. Quasimodo 18. Ramone

Using the randInt function your TI-83, select a simple random sample size 4. Before you select your sample, seed your random number generator by storing 7 into rand [ 7  rand ]. The students who were selected were:

(a) Ally, Ramone, Kyle, Olive (b) Donald, Ramone, Kyle, Frannie (c) Jan, Kyle, Kyle, Ramone (d) Gina, Ivana, Patti, Eli (e) Norm, Donald, Morris, Frannie