The number of hours a lightbulb burns before failing varies from bulb to bulb. The population distribution of burnout times is strongly skewed to the right. The central limit theorem says that (a) as...

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The number of hours a lightbulb burns before failing varies from bulb to bulb. The population distribution of burnout times is strongly skewed to the right. The central limit theorem says that

(a) as we look at more and more bulbs, their average burnout time gets ever closer to the mean m for all bulbs of this type.


(b) the average burnout time of a large number of bulbs has a sampling distribution with the same shape (strongly skewed) as the population distribution.


(c) the average burnout time of a large number of bulbs has a sampling distribution with similar shape but not as extreme (skewed, but not as strongly) as the population distribution.


(d) the average burnout time of a large number of bulbs has a sampling distribution that is close to Normal.


(e) the average burnout time of a large number of bulbs has a sampling distribution that is exactly Normal.




Answered Same DayDec 25, 2021

Answer To: The number of hours a lightbulb burns before failing varies from bulb to bulb. The population...

Robert answered on Dec 25 2021
120 Votes
Central Limit Theorem:
If simple random samples of size n is selected from a distribution with mean
µ and
standard deviation = σ,then the distribution of sample means approach a normal
distribution, as sample size increases, irrespective of parent distribution
of population . The greater the...
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