15
QuizMultiple Choice

Unit Test — Unit test

Question 15 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

Let A represent the battery life of a brand A laptop, and let B represent the battery life of a brand B laptop. The mean difference in battery life between these two brands of laptops, D = A – B, is –3.25 hours. What is the correct interpretation of this value?

Answer
A
On average, brand B gains 3.25 hours of battery life daily.
B
On average, brand A loses 3.25 hours of battery life daily.
C
Both brands are typically losing 3.25 hours of battery life daily.
D
On average, brand B’s battery life lasts 3.25 hours longer than brand A.

Explanation

The difference is defined as D = A − B. Since the mean difference is −3.25 hours, brand A’s average battery life is 3.25 hours less than brand B’s. Equivalently, brand B’s battery life lasts 3.25 hours longer on average, so choice D is correct. This compares battery life between the brands; it does not describe daily gains or losses.

AI-written and checked against the verified answer.

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