A company claims that the rubber belts, which it manufactures, have a mean service life of at least 800 hours. A random sample of 36 belts from a very large shipment of the company's belts shows a mean life of 760 hours and a standard deviation of 90 hours. Which of the following is the most appropriate on the basis of the sample results?
A. Since the sample mean falls below the company's claim, the sample results indicate that the company claim is incorrect.
B. The sample results do not warrant rejection of the company's claim if the risk of a Type I error is specified at .05.
C. The sample results do warrant rejection of the company's claim if the risk of Type I error is specified at .05.
D. The sample results are indeterminate since the magnitude of the sample standard deviation is greater than the difference between the company's claimed figure and the sample mean.
Answer: C
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