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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 1.3.26

In Exercises 21–28, determine whether the study is an experiment or an observational study, and then identify a major problem with the study.
Atkins Weight Loss Program An independent researcher tested the effectiveness of the Atkins weight loss program by randomly selecting 1000 subjects using that program. Each of the subjects was called to report their weight before the diet and after the diet.

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1
Identify the type of study: Determine if the study involves manipulation of variables or simply observation. In this case, the researcher is observing the results of the Atkins weight loss program without assigning subjects to different groups or treatments, indicating it is an observational study.
Understand the characteristics of an observational study: Recognize that in observational studies, researchers do not control the variables but rather observe them as they naturally occur. This can limit the ability to establish causation.
Identify potential problems with the study: Consider the reliability of self-reported data. Since subjects are called to report their weight, there is a risk of inaccurate reporting due to memory errors or intentional misreporting.
Consider the lack of a control group: Without a control group, it is difficult to determine if the weight loss is due to the Atkins program or other factors, such as lifestyle changes or concurrent weight loss efforts.
Evaluate the potential for confounding variables: In observational studies, other variables that are not controlled for might influence the results. For example, participants' exercise habits or other dietary changes could affect weight loss outcomes.

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Key Concepts

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

Experimental Study

An experimental study involves the manipulation of one or more independent variables to observe the effect on a dependent variable. In this context, the researcher actively tests the Atkins weight loss program by randomly selecting subjects and measuring their weight changes, which characterizes it as an experiment rather than mere observation.
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Observational Study

An observational study is a type of research where the investigator observes subjects without manipulating any variables. This approach is used to gather data on subjects in their natural settings, which can lead to insights but does not establish cause-and-effect relationships. Understanding the distinction helps in evaluating the study's design.
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Random Sampling

Random sampling is a technique used to select a subset of individuals from a larger population, ensuring that each member has an equal chance of being chosen. This method enhances the representativeness of the sample, reducing bias and allowing for more generalizable results. In the Atkins study, random selection of subjects is crucial for the validity of the findings.
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Related Practice
Textbook Question

In Exercises 21–24, refer to the sample of body temperatures (degrees Fahrenheit) in the table below. (The body temperatures are from Data Set 5 in Appendix B.)

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Conclusion Given the body temperatures in the table, what issue can be addressed by conducting a statistical analysis of the data?

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Textbook Question

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

Marriage Proposals In a survey conducted by TheKnot.com, 1165 engaged or married women were asked about the importance of a bended knee when making a marriage proposal. Among the 1165 respondents, 48% said that the bended knee was essential.


a. What is the exact value that is 48% of 1165 survey respondents?

b. Could the result from part (a) be the actual number of survey subjects who said that a bended knee is essential? Why or why not?

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Textbook Question

In Exercises 29–36, identify what is wrong.

Potatoes In a poll sponsored by the Idaho Potato Commission, 1000 adults were asked to select their favorite vegetables, and the favorite choice was potatoes, which were selected by 26% of the respondents.

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Textbook Question

In Exercises 21–28, determine which of the four levels of measurement (nominal, ordinal, interval, ratio) best describes the given data.

Movie Ratings In a college film studies course, students rate ten documentaries using a scale of 0 to 5 stars.

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Textbook Question

In Exercises 29–36, identify what is wrong.

Storks and Babies In the years following the end of World War II, it was found that there was a strong correlation, or association, between the number of human births and the stork population. It therefore follows that storks cause babies.

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Textbook Question

In Exercises 29–36, identify what is wrong.

Cell Phones and Pirates In recent years, the numbers of cell phones and the numbers of pirates have both increased, so there is a correlation, or association, between those two variables. Therefore, pirates cause increases in cell phones.

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