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The number of hours a light bulb burns before failing varies from bulb to bulb.

ID: 3153100 • Letter: T

Question

The number of hours a light bulb burns before failing varies from bulb to bulb. The distribution of burnout times is strongly skewed to the right. The central limit theorem says that A. the average burnout time of a large number of bulbs has a distribution that is close to Normal. B. as we look at more and more bulbs, their average burnout time gets ever closer to the mean for all bulbs of this type. C. the average burnout time of a large number of bulbs has a distribution of the same shape (strongly skewed) as the distribution for individual bulbs. D. None of the above.

Explanation / Answer

By central limit theorem, the sampling distirbution of means is approximately normal for a large enough sample size.

Hence,

OPTION A: A. the average burnout time of a large number of bulbs has a distribution that is close to Normal. [ANSWER]

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