Insects hovering in flight expend enormous amounts of energy for their size and weight. The data shown here were taken from a much larger body of data collected by T.M. Casey and colleagues. They show the wing stroke frequencies (in hertz) for two different species of bees, n1 = 4 Euglossa mandibularis Friese and n2 = 6 Euglossa imperialis Cockerell.

a. Based on the observed ranges, do you think that a difference exists between the two population variances?
b. Use an appropriate test to determine whether a difference exists.
c. Explain why a Student's t-test with a pooled estimator s2 is unsuitable for comparing the mean wing stroke frequencies for the two species of bees.

Transcribed Image Text:

E. mandibularis Friese 235 225 190 188 E.imperialis Cockerell 180 169 180 185 178 182