In an experiment on braking performance, a tire manufacturer measured the stopping distance for one of its tire models. On a test track, 10 different cars made repeated stops from 60 miles per hour. Twenty tests were run, 10 each on both dry and wet pavement, with results shown in the accompanying table. (Note that the actual braking distance, which takes into account the driver's reaction time, is much longer, typically near 300 feet at 60 mph!) Complete parts a and b below. Click the icon to view the data table. a) Find a 95% confidence interval for the mean dry pavement stopping distance. Be sure to check the appropriate assumptions and conditions, and explain what your interval means. Select all the appropriate assumptions and conditions. A. The dry pavement stops were made under different conditions and not paired in any way. The independent groups assumption is satisfied. B. These stops are probably representative of all such stops. The randomization condition is satisfied. C. A Normal probability plot of the stopping distances is roughly straight. The nearly Normal condition is satisfied. D. The number dry pavement stops is less than 10% of all such stops. The 10% condition is satisfied. After removing outliers as needed, we are 95% confident that the mean stopping distance on dry pavement is between and feet. (Round to one decimal place as needed.) b) Find a 95% confidence interval for the mean increase in stopping distance on wet pavement. Be sure to check the appropriate assumptions and conditions, and explain what your interval means. Select all the appropriate assumptions and conditions. A. The wet pavement stops and dry pavement stops were each made by the same set of cars. The paired data assumption is satisfied. OB. The histogram of wet pavement stopping distances is approximately Normal with no outliers. The nearly Normal condition is satisfied. I C. The number of stops is less than 10% of all such stops. The 10% condition is satisfied. These stops are probably representative such stops. The randomiz condition is satisfied. and feet. After removing outliers as needed, we are 95% confident that the mean increase in stopping distance for this type of car on wet pavement is between (Round to one decimal place as needed.)