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Based on the concept of inferential statistics demonstrated in Mehl's study, explain why the student researcher's argument is flawed despite the clear numerical difference in the sample.
Case context: A student researcher reads Matthias Mehl's study on talkativeness and notes that the women in the sample spoke a mean of words per day, while the men spoke a mean of words per day. The student argues that because is undeniably larger than , the study definitively proves that women are more talkative than men.
Question: Based on the concept of inferential statistics demonstrated in Mehl's study, explain why the student researcher's argument is flawed despite the clear numerical difference in the sample.
Sample answer: The student's argument is flawed because it confuses sample statistics with population parameters. While the sample showed a numerical difference, inferential statistics must be used to determine if this difference is large enough to generalize beyond the specific people tested. Mehl's team recognized that sample differences can occur by chance and concluded the data did not provide evidence of a genuine population difference.
Key points:
- The student is inappropriately treating a sample difference as a definitive population difference.
- Sample differences can occur due to random chance rather than true population differences.
- Mehl's team determined the observed sample difference was not sufficient evidence of a genuine sex difference in the population.
Rubric: Full credit is awarded if the student correctly identifies that a numerical difference in a specific sample does not automatically mean there is a true difference in the broader population, demonstrating an understanding of the difference between sample data and inferential conclusions.
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Research Methods in Psychology - 4th American Edition @ KPU
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