8.40 (EX) Magnets for pain relief 1/5: A randomized, double-blind experiment studied whether magnetic fields applied over a painful area can reduce pain intensity. The subjects were 50 olunteers with postpolio syndrome who reported muscular or arthritic pain. The pain level when pressing a painful area was graded subjectively on a scale from 0 to 10 (0 is no pain, 10 is aximum pain). Patients were randomly assigned to wear either a magnetic device or a placebo device over the painful area for 45 minutes. Here is a summary of the pain scores for this xperiment, expressed as means + standard deviations: Magnetic device Place device (n=29) (n=21) retreatment 9.6±0.7 9.5 ± 0.8 osttreatment 4.4 +3.1 8.4±1.8 1.1 ± 1.6 hange 5.2 ±3.2 there good evidence that the magnetic device is better than a placebo equivalent at reducing pain? Let μ₁ and μ₂ be the mean change in pain for patients given the magnetic device or

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18.40 (EX) Magnets for pain relief 1/5: 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 0 to 10 (0 is no pain, 10 is
maximum pain). Patients were randomly assigned to wear either a magnetic device or a placebo device over the painful area for 45 minutes. Here is a summary of the pain scores for this
experiment, expressed as means ± standard deviations:
Magnetic device Place device
(n=29)
(n=21)
Pretreatment 9.6 ± 0.7
9.5 ± 0.8
Posttreatment 4.4 ± 3.1
8.4 ± 1.8
1.1 ± 1.6
Change
5.2 + 3.2
Is there good evidence that the magnetic device is better than a placebo equivalent at reducing pain? Let μ₁ and μ₂ be the mean change in pain for patients given the magnetic device or
the placebo device, respectively. State hypotheses for the significant test.
O Ho: H1 H2 vs. Ha: 1 = ₂
O Ho: H1
O Ho: H₁
O Ho: H1
H2 vs. H₂: H1 H2
H₂ VS. H₂ H₁ H₂
H2 vs. Ha: H1
H₂
Transcribed Image Text:18.40 (EX) Magnets for pain relief 1/5: 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 0 to 10 (0 is no pain, 10 is maximum pain). Patients were randomly assigned to wear either a magnetic device or a placebo device over the painful area for 45 minutes. Here is a summary of the pain scores for this experiment, expressed as means ± standard deviations: Magnetic device Place device (n=29) (n=21) Pretreatment 9.6 ± 0.7 9.5 ± 0.8 Posttreatment 4.4 ± 3.1 8.4 ± 1.8 1.1 ± 1.6 Change 5.2 + 3.2 Is there good evidence that the magnetic device is better than a placebo equivalent at reducing pain? Let μ₁ and μ₂ be the mean change in pain for patients given the magnetic device or the placebo device, respectively. State hypotheses for the significant test. O Ho: H1 H2 vs. Ha: 1 = ₂ O Ho: H1 O Ho: H₁ O Ho: H1 H2 vs. H₂: H1 H2 H₂ VS. H₂ H₁ H₂ H2 vs. Ha: H1 H₂
18.40 (EX) Magnets for pain relief 2/5: Give the test statistic, the degrees of freedom and the P-value for the test.
Use the conservative method and Table C.
O t = 5.95, df = 20, P < 0.0005
Ot 1.15, df = 20, 0.2 < P < 0.30
O t = 1.15, df = 20, 0.1 < P < 0.15
O t= 5.95, df = 20, P > 0.001
Transcribed Image Text:18.40 (EX) Magnets for pain relief 2/5: Give the test statistic, the degrees of freedom and the P-value for the test. Use the conservative method and Table C. O t = 5.95, df = 20, P < 0.0005 Ot 1.15, df = 20, 0.2 < P < 0.30 O t = 1.15, df = 20, 0.1 < P < 0.15 O t= 5.95, df = 20, P > 0.001
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