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Question 2: A U.S. tire manufacturer feels that the difference between the stopping distances (between wet pavement and dry pavement) for one of its

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Question 2: A U.S. tire manufacturer feels that the difference between the stopping distances (between wet pavement and dry pavement) for one of its tire models is greater than 50 ft. In an experiment on braking performance, the manufacturer measured the stopping distance of that tire model. On a test track, a car made repeated stops from 60 miles per hour. The company tried them on 10 different cars on both wet and dry pavement. Results are shown in the following table. Stopping Distance (ft.) Car number 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 Do an appropriate hypothesis test at 5% significance level. Answer the following: a. Write down the null and alternative hypotheses. b. Use excel to do the test. In your Excel worksheet: i. Fill the cell that show the test statistic with red color ii. Fill the cell that shows the p-value with green color iii. Give your conclusion with reason.

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