A randomized, double-blind experiment studied whether magnetic fields applied over a painful area can reduce pain intensity. The subjects were 50 volunteers with postpolio syndrome who reported muscular or arthritic pain. The pain level when pressing a painful area was graded subjectively on a scale from 00 to 1010 ; (where 00 is no pain, 1010 is maximum pain.) Patients were randomly assigned to wear either a magnetic device or a placebo device over the painful area for 45 minutes. A summary is given of the pain scores for this experiment, expressed as means ± standard deviations.

Magnetic device Placebo device
(=29)(n=29) (=21)(n=21)

Pretreatment 9.6±0.79.6±0.7 9.5±0.89.5±0.8
Post‑treatment 4.4±3.14.4±3.1 8.4±1.88.4±1.8
Change 5.2±3.25.2±3.2 1.1±1.61.1±1.6

Required:
Is there good evidence that the magnetic device is better than a placebo equivalent at reducing pain? Let 1 and 2 be the mean change in pain for patients given the magnetic device or the placebo device, respectively. State the hypotheses for the appropriate test.