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The braking system on a certain car will stop it in a mean distance of 60...

The braking system on a certain car will stop it in a mean distance of 60 feet when traveling 35 miles per hour. A new system, thought to be superior, has been developed. The new system is installed on 36 cars and the mean stopping distance is 56 feet, with a sample standard deviation of 7 feet. At α = 0.01 can we conclude that the new system will stop the car faster?

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