Statistics Unit Review

Farmer Joe separates his apple tree farm into 10 regions.  He counts the number of apples produced in just one of the regions and uses that estimate to predict the number of apples produced on the whole farm.  This is _______ sampling.

• Simple

• Cluster

• Stratified

• Systematic

Statistics teachers often debate the best order in which to teach topics. One group of teachers likes to teach design of studies first. Another group likes to begin with data analysis. To see which order is more effective in preparing students for the AP Exam, an experiment was proposed. A large group of teachers, each of whom teaches two sections of statistics, volunteered to be part of the experiment. Each teacher will randomly assign one of their classes to beign with design, and the other to begin with data analysis. Which is the correct description of this design?

• The experimental units are the classrooms, the blocks are the teachers, and the response variable is the difference in average AP Exam score for each of the teacher's classes.

• The experimental units are the teachers, there are no blocks, and the response variable is the average AP Exam score for each teacher.

• The experimental units are the individual students, the blocks are the classrooms, and the response variable is each individual student's AP Exam score.

• The experimental units are the individual students, the blocks are the teachers, and the response variable is the average AP Exam score for each classroom

• The experimental units are the order of the topics, the blocks are the teachers, and the response variable is the average AP Exam score for all students who used each order of topics.

In a certain school, students can choose whether to eat in the school’s cafeteria. A reporter working for the school’s newspaper polled students on their reactions to changes in the menu at the cafeteria. For each student leaving the cafeteria in one 20-minute time period, the reporter used a die to determine whether to stop the student and ask how he or she felt about the new menu. In the reporter’s article it was stated that a random sample of the students showed that 23% of the school’s student population was happy with the new menu. Which of the following statements is true?

• Because each student leaving the cafeteria was randomly selected and could choose to answer or not, this is a random sample of the student population, and the 23% is an accurate measurement of the school population’s view of the new menu.

• Because students self-selected whether to eat in the cafeteria, the sampling method might be biased and the sample might not be representative of all students in the school.

• The survey would have been more effective if the reporter had collected the data in one 10-minute time period rather than in one 20-minute time period.

• The survey would have been more effective if students who cared about the food could have called the reporter to tell how they felt about the new menu, so that only students with opinions on the subject would have been surveyed.

• Because no treatment was imposed on the students eating in the cafeteria, one cannot make any conclusions about the new menu.

An apartment complex is made up of 10 buildings with 12 apartments in each building. The manager wants to select a sample of apartments to measure interest in a proposed improvements to the swimming pool. If the manager selects 20 apartments by randomly selecting 2 apartments from each building, what kind of sample did the manager obtain?

• Convenience sample

• Systematic random sample

• Simple random sample

• Stratified random sample

• Cluster random sample

What kind of experiment is shown?

• Matched Pairs

• Block Design

• Completely Randomized Design

A pharmaceutical company manufactures medicine to reduce pain caused by migraine headaches. The company is investigating whether a new medicine is more effective in reducing pain than the current medicine. A random sample of 500 participants who experience migraines was selected, and the participants were randomly assigned to one of two groups of equal size. The first group received the current medicine and the second group received the new medicine. When a participant experienced a migraine, he or she was instructed to take the medicine and, 15 minutes after taking the medicine, to rate the pain relief on a scale from 1 to 10, with 1 being no relief to 10 being complete relief. At the end of six months, the average pain relief for each participant was calculated. Which of the following is the best description of the study?

• An experiment using a completely randomized design

• An experiment using a matched-pairs design

• An observational study using a simple random sample

• An observational study using a cluster sample

• An observational study using a stratified sample

The transportation department of a large city wants to estimate the proportion of residents who would use a system of aerial gondolas to commute to work. The gondolas would be part of the city’s effort to relieve traffic congestion. The department asked a random sample of residents whether they would use the gondolas. The residents could respond with yes, no, or maybe. Which of the following is the best description of the method for data collection used by the department?

• A census

• A sample survey

• An experiment with a completely randomized design

• An experiment with a randomized block design

• An experiment with a matched-pairs design

Interview every 10th student who enters the school in the morning.

• simple random

• voluntary response

• systematic

• convenience

What kind of experiment is shown in the picture?

• Randomized Block Design

• Completely Randomized Design

• Matched Pairs

• I only
• II only
• III only
• I and III only