A tire manufacturer claims that the average life of a certain grade of tire is greater than 25,000 miles under normal driving conditions on a car of a certain weight. A random sample of 15 tires is tested. A mean and standard deviation of 27,000 and 5000 miles, respectively, are computed. Assume that the lives of the tires in miles are approximately normally distributed. Can we conclude from these data that the manufacturer's product is as good as claimed? Use a .05 level of significance.

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