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 Data1h 14m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically2h 5m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables3h 6m
- 6. Normal Distribution and Continuous Random Variables2h 11m
- 7. Sampling Distributions & Confidence Intervals: Mean3h 23m
- Sampling Distribution of the Sample Mean and Central Limit Theorem19m
- Distribution of Sample Mean - Excel23m
- Introduction to Confidence Intervals15m
- Confidence Intervals for Population Mean1h 18m
- Determining the Minimum Sample Size Required12m
- Finding Probabilities and T Critical Values - Excel28m
- Confidence Intervals for Population Means - Excel25m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 25m
- 9. Hypothesis Testing for One Sample3h 29m
- 10. Hypothesis Testing for Two Samples4h 50m
- Two Proportions1h 13m
- Two Proportions Hypothesis Test - Excel28m
- Two Means - Unknown, Unequal Variance1h 3m
- Two Means - Unknown Variances Hypothesis Test - Excel12m
- Two Means - Unknown, Equal Variance15m
- Two Means - Unknown, Equal Variances Hypothesis Test - Excel9m
- Two Means - Known Variance12m
- Two Means - Sigma Known Hypothesis Test - Excel21m
- Two Means - Matched Pairs (Dependent Samples)42m
- Matched Pairs Hypothesis Test - Excel12m
- 11. Correlation1h 24m
- 12. Regression1h 50m
- 13. Chi-Square Tests & Goodness of Fit2h 21m
- 14. ANOVA1h 57m
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."
Verified step by step guidance1
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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