A popular brand of AAA batteries has an effective use time of 12.3 hours, on average. A startup company claims that their AAA batteries last longer. The startup company tested 24,000 of their new batteries and computed a mean effective use time of 12.32 hours. Although the difference is quite small (72 seconds-or just over a minute) , the effect was statistically significant (P-value < 0.0001) .
It is appropriate to conclude which of the following?

Question

A popular brand of AAA batteries has an effective use time of 12.3 hours, on average. A startup company claims that their AAA batteries last longer. The startup company tested 24,000 of their new batteries and computed a mean effective use time of 12.32 hours. Although the difference is quite small (72 seconds-or just over a minute), the effect was statistically significant (P-value < 0.0001).
It is appropriate to conclude which of the following?
A) The startup company has proved that their AAA batteries last longer, on average.
B) The startup company has strong evidence that their AAA batteries last longer, on average.
C) The startup company has moderate evidence that their AAA batteries last longer, on average.
D) None of the answer choices are correct. With such a large sample size, statistically significant results may not be of any practical importance.

Quizplus · Accepted Answer

The Answer of A popular brand of AAA batteries has an effective use time of 12.3 hours, on average. A startup company claims that their AAA batteries last longer. The startup company tested 24,000 of their new batteries and computed a mean effective use time of 12.32 hours. Although the difference is quite small (72 seconds-or just over a minute), the effect was statistically significant (P-value < 0.0001).
It is appropriate to conclude which of the following?
A) The startup company has proved that their AAA batteries last longer, on average.
B) The startup company has strong evidence that their AAA batteries last longer, on average.
C) The startup company has moderate evidence that their AAA batteries last longer, on average.
D) None of the answer choices are correct. With such a large sample size, statistically significant results may not be of any practical importance.

A Popular Brand of AAA Batteries Has an Effective Use