Question

A statistics student wondered whether males spend more time exercising on a treadmill at the gym than females. She went to several different gyms on a single day in order to observe 40 people (20 males and 20 females) using a treadmill and record the time on the display when they finished running. These running times are given here in a back-to-back stem-and-leaf display:

male		female
30	6	0
62	5	25
810	4	08
833100	3	355
9621	2	0555
30	1	00458
5	0	555

Key: 6|0 means 60 minutes

Perform a hypothesis test to investigate the claim that men, on average, do not spend the same amount of time exercising on a treadmill than women:

(Be sure to state your hypotheses, check conditions, compute a P-value and state a conclusion.)

Answer 1