For a statistics class project, Jonathan and Crystal held an ice-cream eating contest. They randomly selected 29 males and 35 females from their large high school to participate. Each student was given a small cup of ice cream and instructed to eat it as fast as possible. Jonathan and Crystal then recorded each contestant’s gender and time (in seconds), as shown in the dotplots.

Do these data give convincing evidence of a difference in the population means at the significance level?

a. State appropriate hypotheses for performing a significance test. Be sure to define the parameters of interest.

b. Check if the conditions for performing the test are met.

:.:... :: .. . .:: Male Female 15 30 45 60 75 90 105 Time to eat ice cream (sec)