A tire manufacturer tested the braking performance of one of its tire models on a test track. The company tried the tires on 10 different cars, recording the stopping distance for each car on both wet and dry pavement. Results are shown in the table. a) Write a 95% confidence interval for the difference in mean stopping distance between dry and wet pavement. Be sure to check the appropriate assumptions and conditions, and explain what your interval means.  Stopping Distance (Ft)   Car # Dry Pavement Wet Pavement 1 150 201 2 147 220 3 136 192 4 134 146 5 130 182 6 134 173 7 134 202 8 128 180 9 136 192 10 158 206

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A tire manufacturer tested the braking performance of one of its tire models on a test track. The company tried the tires on 10 different cars, recording the stopping distance for each car on both wet and dry pavement. Results are shown in the table.

  1. a) Write a 95% confidence interval for the difference in mean stopping distance between dry and wet pavement. Be sure to check the appropriate assumptions and conditions, and explain what your interval means. 
Stopping Distance (Ft)  
Car # Dry Pavement Wet Pavement
1 150 201
2 147 220
3 136 192
4 134 146
5 130 182
6 134 173
7 134 202
8 128 180
9 136 192
10 158 206

 

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