Table of contents
- 1. Intro to Stats and Collecting Data55m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically1h 45m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables2h 33m
- 6. Normal Distribution and Continuous Random Variables1h 38m
- 7. Sampling Distributions & Confidence Intervals: Mean1h 53m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 12m
- 9. Hypothesis Testing for One Sample2h 19m
- 10. Hypothesis Testing for Two Samples2h 8m
- 11. Correlation48m
- 12. Regression1h 4m
- 13. Chi-Square Tests & Goodness of Fit1h 20m
- 14. ANOVA1h 0m
1. Intro to Stats and Collecting Data
Intro to Stats
Problem 1.3.25
Textbook Question
In Exercises 21–28, determine whether the study is an experiment or an observational study, and then identify a major problem with the study.
Sleep Study When designing the study of a new treatment for insomnia in adults, researchers were criticized because their test subjects consisted of 75 college students. They then expanded the study so that 750 college students were given the treatment.

1
Identify the type of study: Determine if the study is an experiment or an observational study. An experiment involves the manipulation of variables to observe effects, while an observational study involves observing subjects without intervention.
Assess the study design: In this case, the study involves giving a treatment to a group of subjects, which indicates that it is an experiment since the researchers are actively applying a treatment to observe its effects.
Evaluate the sample selection: Consider the characteristics of the sample used in the study. Here, the sample consists entirely of college students, which may not be representative of the general adult population with insomnia.
Identify potential biases: Recognize that using only college students can introduce selection bias, as this group may not accurately reflect the diversity of the adult population in terms of age, lifestyle, and other factors that could affect insomnia.
Suggest improvements: Propose ways to address the identified problem, such as expanding the sample to include a more diverse range of adults from different age groups and backgrounds to improve the generalizability of the study results.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Experimental vs. Observational Study
An experimental study involves the manipulation of variables to determine cause-and-effect relationships, while an observational study observes subjects without intervention. In the sleep study, the researchers applied a treatment to the subjects, indicating it is an experimental study.
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Sample Size and Generalizability
Sample size refers to the number of participants in a study, which can affect the reliability of the results. The concern in this study arises from the fact that the sample consisted solely of college students, which may limit the generalizability of the findings to the broader population of adults suffering from insomnia.
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Selection Bias
Selection bias occurs when the participants included in a study are not representative of the larger population, potentially skewing results. In this case, using only college students may introduce selection bias, as their sleep patterns and responses to treatment may differ significantly from those of older adults or individuals with varying lifestyles.
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