16. Braking Distance An automotive researcher wanted to estimate the difference

Question

16. Braking Distance An automotive researcher wanted to estimate the difference in distance required to come to a complete stop while traveling 40 miles per hour on wet versus dry pavement. Because car type plays a role, the researcher used eight different cars with the same driver and tires. The braking distance (in feet) on both wet and dry pavement is shown in the table below. Construct a 95% confidence interval for the mean difference in braking distance on wet versus dry pavement where the differences are computed as "wet minus dry." Interpret the interval. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Car 1 2 3 4 5 Wet 106.9 100.9 108.8 111.8 105.0 105.6 110.6 1079 Dry 71.8 68.8 74.1 73.4 75.9 75.2 75.7 81.0 te

Explanation / Answer

Hence if a sample of 10 distinct cars is taken, the mean differene lies within the calculated CI 95% of the time.

Yes it is correct to say that for

Wet Dry dbar 106.9 71.8 35.1 100.9 68.8 32.1 108.8 74.1 34.7 111.8 73.4 38.4 105 75.9 29.1 105.6 75.2 30.4 110.6 75.7 34.9 107.9 81 26.9

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