Question
Without looking, Hansen took 5 flash cards out of his box of flash cards.
Is this a random sample of the flash cards in the box?
yes no
Is this a random sample of the flash cards in the box?
yes no
Ask by Beck Gray. in the United States
Jan 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Cannot determine if the sample is random with the given information.
Solution
To determine if Hansen’s selection of 5 flash cards is a random sample, we need to consider the definition of a random sample. A random sample is one in which every member of the population has an equal chance of being selected.
In this case, we don’t have information about how Hansen selected the flash cards. If he simply took 5 cards without any specific method (like picking them from different parts of the box or using a random number generator), it could be considered a random sample. However, if he selected them based on some criteria (like only taking cards from the top of the box), then it would not be a random sample.
Since we don’t have enough information about the selection process, we cannot definitively say “yes” or “no.” However, if we assume that he took them without bias, we might lean towards “yes.”
In conclusion, the answer is not definitively determinable without more context.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Mind Expander
Yes, Hansen’s action can be considered a random sample if we assume he chose the cards without any particular method or bias. The random selection helps ensure that each card had an equal chance of being picked, which is a key characteristic of random sampling.
However, if Hansen had some knowledge of the cards beforehand or tendencies to pick certain ones, that could introduce bias and skew the randomness of the sample. To maintain true randomness, it’s best to have a clear method, like closing one’s eyes while picking!
