[EX02-079] Students like to engage in the

“Battle of the Sexes” when it comes to who’s the better driver. But which gender outnumbers the other on the road? The numbers may surprise you.

Listed here is the number of licensed male and female drivers in each of 18 randomly selected states.

State Male Female KY 1,389,380 1,410,255 DE 286,144 298,992

••• Remainder of data on Student’s Suite CD-ROM Source: U.S. Department of Transportation, Federal Highway Administration

a. Do the female drivers outnumber the male drivers? Study the table and see if the data seem to support your estimate. Explain your initial answer.

b. Define the variable “ratio M/F” as the number of licensed male drivers divided by the number of licensed female drivers in each state. Calculate

“ratio M/F” for the states in the sample.

c. If a value of the “ratio M/F” is near 1.0, what does that mean? Greater than 1.0? Less than 1.0? Explain.

d. Construct a histogram.

e. Describe the distribution shown in the histogram found in part d.

f. Calculate the mean value of the “ratio M/F.”

g. Explain the meaning of values in each of the tails of the histogram.

Optional: All 50 states plus DC are listed on the CD. [DS02-079]

h. List two states, not in the preceding table, that you expect to find near each tail of the distribution of M/F. Explain why you believe these states will have high or low ratios.

i. Answer questions of parts d and f using the data of all 51 items.

j. Compare the results found in part i to those found in parts d and f.
k. How accurate were your predications to part h? Explain.