Chapter 4.2, Problem 26E

The paper referenced in the previous exercise also gave summary statistics and graphs for the reaction time of drivers who were not listening to audiobooks. Data on reaction time (in milliseconds) consistent with those summary statistics for 10 drivers not listening to audiobooks are given here.

1. a. Use the data given in this exercise and the data given in the previous exercise to construct dot-plots that would allow you to compare the reaction times for the two groups.
2. b. Based on the dot plots, do you think that the standard deviation of the reaction times for people who are not listening to audiobooks would be less than, about the same as, or greater than the standard deviation that you calculated in the previous exercise for drivers who were listening to audio books? Explain your thinking.
3. c. Calculate the standard deviation of the reaction times for the drivers who were not listening to audiobooks. Is the value of this standard deviation consistent with your answer in Part (b)?
4. d. Describe how the distributions of reaction time differ for drivers who are listening to audiobooks and those who are not.

4.25 In an experiment to assess the effect of listening to audiobooks while driving, participants were asked to drive down a straight road in a driving simulator.τbe accompanying data on time (in milliseconds) to react when a pedestrian walked into the street for 10 drivers listening to an audiobook are consistent with summary statistics and graphs that appeared in the paper “Good Distractions: Testing the Effect of Listening to an Audiobook on Driving Performance in Simple and Complex Road Environments” (Accident Analysis and Prevention [2018]: 202-209). Calculate the variance and the standard deviation for this data set.