(Solution) - A researcher tests the braking distances of several cars The -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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A researcher tests the braking distances of several cars. The braking distance from 60 miles per hour to a complete stop on dry pavement is measured in feet. The braking distances of a sample of cars are normally distributed, with a mean of 129 feet and a standard deviation of 5.18 feet. What is the longest braking distance one of these cars could have and still be in the bottom 1%?
a. Sketch a graph.
b. Find the z-score that corresponds to the given area.
c. Find x using the formula x = ? + z?.
d. Interpret the result.