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A tire manufacturer wished to investigate the tread life of its tires. A sample of 10 tires driven 50,000 miles revealed a sample mean of 0.32 inch of tread remaining with a standard deviation of 0.09 inch.

a. Construct a 95% confidence interval for the population mean.

b. Would it be reasonable to conclude that the population mean of tread remaining is 0.30 inches?

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