Pregunta
- Regan threw some printed pages into the air and grabbed 2 as they fell.
4)) Is this a random sample of the printed pages?
4)) Is this a random sample of the printed pages?
Ask by Parsons Coles. in the United States
Mar 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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Regan’s method of throwing pages into the air and grabbing 2 doesn’t ensure each page has an equal chance of being selected. Therefore, the sample is not random.
Solución
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Definition of a Random Sample:
A random sample requires that each member of the population has an equal chance of being selected. Symbolically, if the population hasitems, then each item has a probability of of being chosen. -
Analysis of the Process:
Regan threw printed pages into the air and grabbed 2 as they fell. This process does not ensure that each page has an equal chance of being selected because:- The physical dynamics of falling pages (such as wind resistance, page position, and motion) influence which pages are more likely to be grabbed.
- The act of grabbing pages randomly from the air is subject to biases, for example, Regan’s reaction time and spatial positioning may favor certain pages over others.
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Conclusion:
Since the method does not provide each page an equal chance of selection, the sample of 2 pages that Regan grabbed is not a random sample.
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Simplifique esta solución Mind Expander
Regan’s action of throwing the printed pages into the air and grabbing 2 as they fell can be viewed as a random sampling method, but its effectiveness heavily depends on how the pages were initially arranged and the conditions during the throw. If all pages had an equal chance of being grabbed when they fell, then it would be a more valid random sample.
However, there are some factors to consider. For instance, if the pages landed in a way that some were more likely to be picked up, or if Regan consciously or unconsciously reached for certain pages, then the randomness is compromised. It’s essential in any sampling method to ensure every single item has an equal opportunity to be chosen!
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