[Steps Shown] Stichler, Richey, and Mandel compared two methods of measuring tread wear in their paper "Measurement of Tread wear of Commercial Tires".
Question: Stichler, Richey, and Mandel compared two methods of measuring tread wear in their paper "Measurement of Tread wear of Commercial Tires". Eleven tires were each measured for tread wear by two methods, one based on weight and the other on groove wear. The following are the data, in thousands of miles.
| Weight Method | Groove Method | Weight Method | Groove Method |
| 30.5 | 28.7 | 24.5 | 16.1 |
| 30.9 | 25.9 | 20.9 | 19.9 |
| 31.9 | 23.3 | 18.9 | 15.2 |
| 30.4 | 23.1 | 13.7 | 11.5 |
| 27.3 | 23.7 | 11.4 | 11.2 |
| 20.4 | 20.9 |
At the 5% significance level, do the data provide sufficient evidence to conclude that, on average, the two measurement methods give different results?
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