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 3m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 12m
- 9. Hypothesis Testing for One Sample1h 1m
- 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.r.19
Textbook Question
Determine whether the study is an observational study or an experiment. Explain.
Researchers conduct a study to determine whether a medication based on fish oil known as omega-3 carboxylic acids is effective in reducing the risk of cardiac events in people already at risk. In the study, 13,078 patients are randomly chosen to receive either omega-3 carboxylic acids or a placebo of corn oil daily. Researchers compare the number of cardiac events of the two groups over similar follow-up periods of time. (Source: American Heart Association)

1
Step 1: Understand the difference between an observational study and an experiment. An observational study involves observing and measuring variables without manipulating them, while an experiment involves actively assigning treatments to subjects to observe the effects of those treatments.
Step 2: Identify the key elements of the study described in the problem. In this case, researchers randomly assign 13,078 patients to one of two groups: one group receives omega-3 carboxylic acids, and the other group receives a placebo (corn oil).
Step 3: Note that the researchers are actively manipulating the treatment by assigning patients to receive either the medication or the placebo. This is a hallmark of an experimental study.
Step 4: Observe that the researchers are comparing the outcomes (number of cardiac events) between the two groups over similar follow-up periods. This comparison is used to determine the effect of the treatment.
Step 5: Conclude that this study is an experiment because the researchers are actively assigning treatments (omega-3 carboxylic acids or placebo) to the participants and observing the outcomes to determine the effect of the treatment.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Observational Study vs. Experiment
An observational study involves observing subjects without manipulating any variables, while an experiment involves the active intervention by researchers to test a hypothesis. In an experiment, participants are typically assigned to different groups to receive treatments or interventions, allowing for causal inferences.
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Random Assignment
Random assignment is a technique used in experiments to allocate participants to different treatment groups randomly. This process helps ensure that each group is similar at the start of the study, minimizing biases and allowing researchers to attribute differences in outcomes directly to the treatment being tested.
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Control Group
A control group is a baseline group in an experiment that does not receive the treatment being tested, allowing researchers to compare outcomes against those who do receive the treatment. In this study, the placebo group receiving corn oil serves as the control group, helping to assess the effectiveness of the omega-3 carboxylic acids.
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