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AP Statistics/Unit 5: Sampling Distributions
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Central Limit Theorem for a Skewed Population
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A researcher is studying the lifetimes of electronic components. The population distribution is exponential with a mean of 5000 hours. The researcher takes random samples of size n = 25. Which of the following best describes the sampling distribution of the sample mean?

A

Approximately normal only if the sample is large

B

Not approximately normal since n < 30

C

Exactly exponential with mean 5000 hours

D

Approximately normal with mean 5000 hours

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