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On the first day of class, Shivani skimmed $7$ random pages from each of the books assigned in her 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, Shivani skimmed

7

random pages from each of the books assigned in her 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. $\newline$ Shivani skimmed $7$ random pages from each book. Since she uses the same number of pages from each book, the method seems initially fair.
Consider Randomness and Representation: Consider the randomness and representation. $\newline$ Random pages are chosen, but only $7$ pages per book might not represent the entire content, especially if the books are lengthy.
Evaluate Likelihood of Bias: Evaluate the likelihood of bias. $\newline$ Since not all aspects of each book's content can be captured by just $7$ pages, especially if themes and ideas vary throughout, the sample could miss important content, leading to a biased view of the overall material.

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