A quality control manager wants to see how many defective products come off the line on average per day. They use a random number generator to select 100 of the 1500 units produced that day and tested whether they were defective. What type of sampling method is this?
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 Samples3h 22m
- 11. Correlation1h 6m
- 12. Regression1h 4m
- 13. Chi-Square Tests & Goodness of Fit1h 20m
- 14. ANOVA1h 0m
1. Intro to Stats and Collecting Data
Sampling Methods
Problem 1.3.20c
Textbook Question
"Researchers in Japan tested the effect of cannabidiol (CBD) in treating late teenagers with social anxiety disorder (SAD). Thirty-seven 18- to 19-year-old teenagers with SAD took part in the study. The patients were assigned at random to receive a daily dose of either CBD or a placebo for 4 weeks. Symptoms were measured using The Fear of Negative Evaluation Questionnaire and the Liebowitz Social Anxiety Scale at the beginning and end of the treatment. (Source: Frontiers in Psychology)
The experiment is described as a placebo-controlled, double-blind study. Explain what this means."

1
A placebo-controlled study means that the participants are divided into two groups: one group receives the actual treatment (in this case, CBD), while the other group receives a placebo, which is a substance with no therapeutic effect. This allows researchers to compare the effects of the treatment against the placebo to determine if the treatment has a significant impact.
A double-blind study means that neither the participants nor the researchers administering the treatment know which participants are receiving the actual treatment and which are receiving the placebo. This helps to eliminate bias in the study, ensuring that the results are not influenced by the expectations of either the participants or the researchers.
The random assignment of participants to the treatment or placebo group ensures that the groups are comparable and that any differences in outcomes can be attributed to the treatment rather than pre-existing differences between the groups.
The use of standardized measurement tools, such as The Fear of Negative Evaluation Questionnaire and the Liebowitz Social Anxiety Scale, ensures that the symptoms of social anxiety disorder are assessed consistently and objectively before and after the treatment.
By combining these elements (placebo control, double-blind design, random assignment, and standardized measurement), the study aims to provide reliable and unbiased evidence about the effectiveness of CBD in treating social anxiety disorder in late teenagers.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Placebo-Controlled Study
A placebo-controlled study is a type of clinical trial where one group of participants receives the treatment being tested, while another group receives a placebo, which is an inactive substance. This design helps to isolate the effect of the treatment by comparing outcomes between the two groups, ensuring that any observed effects can be attributed to the treatment rather than psychological factors or expectations.
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Double-Blind Study
In a double-blind study, neither the participants nor the researchers know who is receiving the treatment and who is receiving the placebo. This design minimizes bias, as it prevents both parties from influencing the results or their interpretations. It enhances the reliability of the findings by ensuring that expectations do not affect the outcomes.
Random Assignment
Random assignment is the process of assigning participants to different groups in a study using randomization techniques. This ensures that each participant has an equal chance of being placed in any group, which helps to eliminate selection bias and ensures that the groups are comparable at the start of the experiment. This is crucial for the validity of the study's conclusions.
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