A group of researchers is analyzing how gender and swimming strokes interact to determine a swimmer's speed. The researchers collect a random sample of swimmers from the 17th FINA World Championships in Budapest, Hungary. The file FINA contains the time (in seconds) taken to complete a 100 meter race across three swimming strokes: freestyle, backstroke, and breaststroke.

At the 0.05 level of significance,

a. is there an interaction between gender and swimming stroke?

b. is there an effect due to gender?

c. is there an effect due to swimming stroke?

d. Plot the mean swim time for each stroke for both genders.

e. On the basis of the results of (a) through (d), what conclusions can you reach concerning swim time? Discuss.