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# Solved: A study carried out to investigate the ISBN: 9780321629111 32

## Solution for problem 82E Chapter 1

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 82E

A study carried out to investigate the distribution of total braking time (reaction time plus accelerator-to-brake movement time, in ms) during real driving conditions at 60 km/hr gave the following summary information on the distribution of times (“A Field Study on Braking Responses During Driving,” Ergonomics, 1995: 1903–1910): What can you conclude about the shape of a histogram of this data? Explain your reasoning.

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Problem 82E Answer: Step1: We have A study carried out to investigate the distribution of total braking time (reaction time plus accelerator-to-brake movement time, in ms) during real driving conditions at 60 km/hr gave the following summary information on the distribution of times (“A Field Study on Braking Responses During Driving,” Ergonomics, 1995: 1903–1910): Mean = 535, Median = 500, Mode = 500 Standard deviation = 96, Minimum = 220, Maximum = 925 5th Percentile = 400, 10th percentile = 430 90th percentile = 640, 95th percentile = 720 We need to conclude about the shape of a histogram of this data Explain your reasoning. Step2: Here, we can see the mean is somewhat larger than the median and mode. That is mean = 535 > median = 500 Also, the maximum and higher (90th and 95th) percentiles are farther...

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##### ISBN: 9780321629111

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