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In the dark, Allie picked out $8$ shirts from her closet. $\newline$ Is this sample of the shirts in the closet likely to be biased? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Identify biased samples

Full solution

Q. In the dark, Allie picked out

8

shirts from her closet.

\newline

Is this sample of the shirts in the closet likely to be biased?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Understand the Scenario: Understand the scenario. $\newline$ Allie picked $8$ shirts from her closet in the dark. This means she couldn't see the shirts she was choosing.
Define Biased: Define ＂biased.＂ $\newline$ A sample is biased if it does not fairly represent the whole population. In this case, the ＂population＂ is all the shirts in the closet.
Analyze Selection Method: Analyze the method of selection. $\newline$ Since Allie picked shirts without seeing them, her choice was random. This randomness helps in reducing bias as every shirt had an equal chance of being picked.
Conclude Bias: Conclude whether the sample is likely biased or not. $\newline$ Given the random nature of the selection, it is unlikely that the sample is biased.

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