17) An inventor has developed a new spray coating that is designed to improve th

Question

17) 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 each 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 (C) Non-Coated Tire (N) 1.452 1.634 0.785 0,844 2 50 1.211 0.954 Non-Coated Difference Mean Std. Dev Sample Size Coated 1.38 0.12 0.85 0.11 50 0.53 0.06 50 50 Use the summary data to calculate the test statistic to determine if the new spray coating improves the mean wear of the bicycle tires. C)z 55.26 D) z 62.46 A) z 23.02 B) z 34.25

Explanation / Answer

as the samples are dependent we will use matched pair test:

for abvoe test statistic z =(dbar-0)*sqrt(n)/std deviation =(0.53-0)*sqrt(50)/0.06 =62.46

option D is correct

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