Question: Solve the problem. An inventor has developed a new spray coating that is designed to improve the wear of bicycle tires. To test the new

Solve the problem. An inventor has developed a new spray coating that is designed to improve the wear of bicycle tires. To test the new coating, the inventor randomly selects one of the two tires on cach of 50 bicycles to be coated with the new spray. The bicycle is then driven for 100 miles and the amount of the depth of the tread left on the two bicycle tires is measured (in millimeters). It is desired to determine whether the new spray coating improves the wear of the bicycle tires. The data and summary information is shown below Bicycle Coated Tire Non-Coated Tire (N) 1.152 0.785 2 1.634 0.814 1 1 50 1.211 0.954 . Coated Non-Coated Difference Mean 1.38 0.85 0.53 Std. Dev. 0.12 0.11 0.06 Sample Size 505050 Use the summary data to calculate the test statistic to determine if the new spray coating improves the mean wear of the bicycle tires. O 2 = 55.26 Z 34.25 2 = 62.46 2 23.02

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