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Ch. 1 - Introduction to Statistics
Triola - Elementary Statistics 14th Edition
Triola14th EditionElementary StatisticsISBN: 9780137366446Not the one you use?Change textbook
Chapter 1, Problem 1.3.33

In Exercises 33–36, identify which of these designs is most appropriate for the given experiment: completely randomized design, randomized block design, or matched pairs design.


Lunesta Lunesta is a drug designed to treat insomnia. In a clinical trial of Lunesta, amounts of sleep each night are measured before and after subjects have been treated with the drug.

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Identify the key elements of the experiment: the treatment (Lunesta), the subjects (individuals with insomnia), and the measurements (amounts of sleep each night before and after treatment).
Consider the nature of the measurements: since the same subjects are measured before and after the treatment, this suggests a comparison of two related samples.
Recognize that the design involves comparing the same subjects under two different conditions (before and after treatment), which is characteristic of a matched pairs design.
Understand that a matched pairs design is appropriate here because it controls for individual variability by using each subject as their own control.
Conclude that the matched pairs design is most suitable for this experiment as it allows for a direct comparison of the effects of Lunesta on the same individuals, enhancing the reliability of the results.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Completely Randomized Design

A completely randomized design is an experimental setup where all subjects are randomly assigned to different treatment groups. This design is useful when the subjects are homogeneous, and the goal is to ensure that each treatment group is statistically equivalent, minimizing bias and confounding variables.
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Randomized Block Design

A randomized block design involves grouping subjects into blocks based on a certain characteristic before randomly assigning treatments within each block. This design is effective when there are known sources of variability among subjects, allowing for more precise comparisons by controlling for these differences.
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Matched Pairs Design

A matched pairs design is used when subjects are paired based on similar characteristics, and each pair is split to receive different treatments. This design is particularly useful in before-and-after studies, like the Lunesta trial, as it controls for individual variability by comparing each subject to themselves, enhancing the reliability of the results.
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Related Practice
Textbook Question

E-Cigarette Survey In a survey of 36,000 adults, 3.7% said that they regularly use E-cigarettes (based on data from the National Center for Health Statistics)


b. Is the value of 3.7% a statistic or parameter?

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Textbook Question

In Exercises 37–44, answer the given questions, which are related to percentages.

Workplace Attire In a survey conducted by Opinion Research Corporation, 1000 adults were asked to identify “what is inappropriate in the workplace.” Of the 1000 subjects, 70% said that miniskirts were not appropriate in the workplace.


b. Among the 1000 respondents, 550 said that shorts are unacceptable in the workplace. What percentage of respondents said that shorts are unacceptable in the workplace?

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Textbook Question

In Exercises 5–8, determine whether the given source has the potential to create a bias in a statistical study.


AAA The American Automobile Association (AAA) is a not-for-profit federation of motor clubs that provides automotive and travel services. AAA conducts a survey of its members about their use of public transportation versus private automobiles.

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Textbook Question

In Exercises 13–20, determine whether the data are from a discrete or continuous data set.

Fraud Detection While monitoring Internet traffic in order to detect fraudulent activity, a researcher records the interarrival times (sec) between incoming Internet queries.

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Textbook Question

In Exercises 25–28, refer to the data in the table below. The entries are for five different years, and they consist of weights (metric tons) of lemons imported from Mexico and U.S. car crash fatality rates per 100,000 population [based on data from “The Trouble with QSAR (or How I Learned to Stop Worrying and Embrace Fallacy)” by Stephen Johnson, Journal of Chemical Information and Modeling, Vol. 48, No. 1].

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Conclusion If we were to use the sample data and conclude that there is a correlation or association between lemon imports and crash fatality rates, does it follow that lemon imports are the cause of fatal crashes?

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Textbook Question

Quantitative/Categorical Data Identify each of the following as quantitative data or categorical data.


a. The platelet counts in Data Set 1 “Body Data” in Appendix B

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