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A battery manufacturer advertises that the mean reserve capacity of a certain battery is 1500 hours....

A battery manufacturer advertises that the mean reserve capacity of a certain battery is 1500 hours. You suspect that the batteries’ reserve time is less than the advertised value. To test this claim, you randomly select a sample of 20 batteries and find the mean reserve capacity to be 1320 hours. Assume that the population standard deviation is 320 hours. Do you have enough evidence to support the manufacturer’s claim? What assumption is necessary for this test to be valid?

A. None. The Central Limit Theorem makes any assumptions unnecessary.

B. The population of all the batteries’ reserve time is normally distributed because of the small sample size.

C. The population variance must equal the population mean.

Math   Statistics-And-Probability   
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Answer #1

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B. The population of all the batteries’ reserve time is normally distributed because of the small sample size.

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