STATISTICAL TECHNIQUES AND TOOLS
SAMPLING DISTRIBUTION
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Question
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A manufacturer of cell phone batteries claims that the average number of recharge cycles for its batteries is 400. A consumer group will obtain a random sample of 100 of the manufacturer’s batteries and will calculate the mean number of recharge cycles. Which of the following statements is justified by the central limit theorem?
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The distribution of the number of recharge cycles for the sample is approximately normal because the population mean of 400 is greater than 30.
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The distribution of the number of recharge cycles for the sample is approximately normal because the sample size of 100 is greater than 30.
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The distribution of the number of recharge cycles for the population is approximately normal because the sample size of 100 is greater than 30.
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The distribution of the sample means of the number of recharge cycles is approximately normal because the sample size of 100 is greater than 30.
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The distribution of the sample means of the number of recharge cycles is approximately normal because the population mean of 400 is greater than 30.
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Explanation:
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