The datafile CommuteAtlanta contains a sample of commute times for 500 workers in the Atlanta area as described in Data 3.3 on page 193. The data in CommuteStLouis has similar information on the commuting habits of a random sample of 500 residents from metropolitan St. Louis. Figure 3.31 shows comparative boxplots of the commute times for the two samples. We wish to estimate the difference in mean commute time between Atlanta and St. Louis.

Figure 3.31

(a) Discuss and compare the boxplots in Figure 3.31. Which city appears to have the longer average commute time?
(b) Give notation for the parameter we are estimating and give the best point estimate from the data.
(c) Describe how to compute one bootstrap statistic from this data.
(d) Use StatKey or other technology to create a bootstrap distribution for the difference in mean commute times between the two cities and use the standard error to find and interpret a 95% confidence interval.

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