A quality control manager wants to see how many defective products come off the line on average per day. They take 10 random units produced over the course of the day from each of 10 machines to test if they are 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 1.3.20d
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)
How could blocking be used in designing this experiment?"

1
Step 1: Understand the concept of blocking in experimental design. Blocking is a technique used to control for variability among experimental units by grouping them into blocks based on certain characteristics. This helps reduce the impact of confounding variables and increases the precision of the experiment.
Step 2: Identify potential sources of variability among the participants in the study. For example, factors such as gender, baseline severity of social anxiety disorder (SAD), or other demographic characteristics might influence the response to the treatment.
Step 3: Divide the participants into blocks based on these identified characteristics. For instance, you could create blocks based on gender (male and female) or baseline severity of SAD (mild, moderate, severe). Each block should contain participants who are similar with respect to the chosen characteristic.
Step 4: Within each block, randomly assign participants to either the CBD treatment group or the placebo group. This ensures that the comparison between the two groups is fair and minimizes the influence of the blocking variable on the treatment effect.
Step 5: Analyze the results within each block and compare the outcomes between the treatment and placebo groups. This approach allows researchers to account for variability due to the blocking variable and obtain more reliable conclusions about the effect of CBD on social anxiety disorder.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Randomization
Randomization is a fundamental principle in experimental design that involves randomly assigning participants to different treatment groups. This process helps ensure that each group is comparable at the start of the experiment, minimizing biases and confounding variables. In the context of the study, randomization allows researchers to attribute any observed effects on social anxiety symptoms directly to the treatment (CBD or placebo) rather than other factors.
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Blocking
Blocking is a technique used in experimental design to control for variables that could affect the outcome of the study. By grouping participants into blocks based on certain characteristics (e.g., age, severity of anxiety), researchers can ensure that these variables are evenly distributed across treatment groups. This helps to reduce variability within treatment groups and increases the precision of the results, making it easier to detect the true effect of the treatment.
Measurement Scales
Measurement scales are tools used to quantify variables in research, allowing for the assessment of changes over time. In this study, The Fear of Negative Evaluation Questionnaire and the Liebowitz Social Anxiety Scale are used to measure social anxiety symptoms before and after treatment. Understanding these scales is crucial for interpreting the results, as they provide a standardized way to evaluate the effectiveness of CBD in reducing anxiety symptoms among participants.
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