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On the first day of class, Albert skimmed $17$ random pages from each of the books assigned in his literature class. Each assigned book has an equal number of pages. $\newline$ Is this sample of the assigned reading likely to be biased? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Identify biased samples

Full solution

Q. On the first day of class, Albert skimmed

17

random pages from each of the books assigned in his literature class. Each assigned book has an equal number of pages.

\newline

Is this sample of the assigned reading likely to be biased?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Understand Sampling Method: Understand the sampling method. $\newline$ Albert skimmed $17$ random pages from each book. Since the pages are chosen randomly and from each book, the sample should represent the content of the books fairly.
Consider Total Pages: Consider the total number of pages in each book. $\newline$ If each book has significantly more than $17$ pages, skimming only $17$ might not cover all themes or content areas equally. However, randomness in selection helps reduce bias.
Evaluate Bias Likelihood: Evaluate the likelihood of bias. Random sampling from each book reduces the chance of bias, as it does not favor any specific part of a book over another.

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