College

Refer to the table of body temperatures (degrees Fahrenheit). Is there a meaningful way in which each body temperature recorded at 8 AM is matched with the 12 AM temperature?

\[
\begin{tabular}{|l|c|c|c|c|c|}
\hline
& \multicolumn{5}{|c|}{Subject} \\
\hline
& 1 & 2 & 3 & 4 & 5 \\
\hline
8 AM & 97.0 & 98.5 & 97.6 & 97.7 & 98.7 \\
\hline
12 AM & 97.6 & 97.8 & 98.0 & 98.4 & 98.4 \\
\hline
\end{tabular}
\]

Choose the correct answer below.

A. No. The 8 AM temperatures are from one individual over five days and the 12 AM temperatures are from another individual over five days.

B. Yes. The 8 AM temperatures are all from one individual over five days and the 12 AM temperatures are from the same individual on the same five days, so each pair is matched.

C. Yes. The 8 AM temperatures are all from one individual over five days and the 12 AM temperatures are from a different individual on the same five days, so each pair is matched.

D. Yes. Each column of 8 AM and 12 AM temperatures is recorded from the same subject, so each pair is matched.

Answer :

To solve this question, we need to determine whether there is a meaningful way to match the body temperatures recorded at 8 AM with those recorded at 12 AM.

Let's analyze each option:

Option A:
- Statement: The 8 AM temperatures are from one individual over five days, and the 12 AM temperatures are from another individual over five days.
- Evaluation: If the temperatures are from different individuals, they might not have a direct, meaningful relationship. This option suggests there is no pairing based on the same subject.

Option B:
- Statement: The 8 AM temperatures are all from one individual over five days, and the 12 AM temperatures are from the same individual on the same five days, so each pair is matched.
- Evaluation: If both sets of temperatures are from the same individual on corresponding days, each 8 AM temperature can be directly compared to the 12 AM temperature on the same day. This suggests a meaningful way to match the temperatures.

Option C:
- Statement: The 8 AM temperatures are all from one individual over five days, and the 12 AM temperatures are from a different individual on the same five days, so each pair is matched.
- Evaluation: If the temperatures are from different individuals but on the same days, there is still no direct, meaningful relationship based on the same subject's temperature variations.

Option D:
- Statement: Each column of 8 AM and 12 AM temperatures is recorded from the same subject, so each pair is matched.
- Evaluation: This option indicates that each pair of temperatures (i.e., one 8 AM and the corresponding 12 AM temperature in the same column) is recorded from the same subject. This means each temperature is matched within the same individual.

Given our analysis, Option D correctly describes the relationship:

Option D. Each column of 8 AM and 12 AM temperatures is recorded from the same subject, so each pair is matched.

This provides a meaningful way to match 8 AM and 12 AM temperatures as they are from the same subject on the same day.

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