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Statistics: What is the 95 percent interval for the population mean of trucks on I-475?

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The mean weight of trucks traveling on a particular section of I-475 is not known. A state highway inspector needs an estimate of the mean. He selects a random sample of 49 trucks passing the weighing station and finds the mean is 15.8 tons, with a standard deviation of the sample of 3.8 tons. What is the 95 percent interval for the population mean?

14.7 and 16.9

13.2 and 17.6

10.0 and 20.0

16.1 and 18.1

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The correct answer is "14.7 and 16.9"

For samples larger than 30, the distribution of the sample mean can be considered to be approximately normal, with mean equal to the observed sample ...

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