The skid properties of a snow tire have been tested, and a mean skid distance of 154 ft has been established for standardized conditions. A new, more expansive tire is developed, but tests on a sample of 20 new tires yield a mean skid distance of 141 ft with a standard deviation of 12 ft. Because of the cost involved, the new tires will be purchased only if it can be shown at the α = 0.005 significance level that they skid less than the current tires. Based on the sample, will the new tires be purchased?

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