The manufacturer of a particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. From the 28 owners surveyed, the mean lifespan of the tires was 46,500 miles with a standard deviation of 9,800 miles. Using a = 0.05, is the data highly inconsistent with the claim?

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