Based on the given study results, compute a 95% confidence interval (CI) for the true mean difference in headache severity scores (at 3 months post-randomization) for the Acupuncture group compared to the Control group. Is this difference in means statistically significant? Yes, because the 95% CI does not include 1. No, because the 95% CI includes 1. Yes, because the 95% CI does not include 0. No, because the 95% Cl includes 0. This 95% CI can't be computed because I was only given the standard error of the mean difference for the Control group compared to the Acupuncture group.

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1.A randomized, controlled study was conducted to evaluate the potential benefits/harm of using acupuncture to treat migraine headaches. Researchers selected a representative sample of 326 migraine sufferers to participate in the study. Subjects in the study sample were randomized to either receive acupuncture treatments, or to a control group that did not receive any treatment. The outcome of interest was the self-reported headache severity scores recorded three months after randomization (on a scale of 0 to 100, higher scores = greater severity). The following graphic compares the distribution of severity scores at 3 months between the Acupuncture and Control groups:

 

Headache Severity Score Distributions
By Treatment Group, 3 Months Post-Randomization
Control
Acupuncture
Асирипсture
(n=173)
Control (n=153)
XControt : 25
Scontrol : 18
SÊ(Xcmena) :1.5
Range: 0 to 92
Percentiles:
2.5th: 3
25th: 12
50th: 19
75th: 33
97.5th: 70
XAcup : 19.0
SAcup : 16
Acup
Range: 0 to 99
Percentiles:
2.5th: 2
25th: 9
50th: 15
75th: 25
97.5th: 65
50
100
50
100
Randomization Group
Graphs by group
Please note: SE(xbar_control - xbar_treatment)= 1.9
Headache Severiy Score
Transcribed Image Text:Headache Severity Score Distributions By Treatment Group, 3 Months Post-Randomization Control Acupuncture Асирипсture (n=173) Control (n=153) XControt : 25 Scontrol : 18 SÊ(Xcmena) :1.5 Range: 0 to 92 Percentiles: 2.5th: 3 25th: 12 50th: 19 75th: 33 97.5th: 70 XAcup : 19.0 SAcup : 16 Acup Range: 0 to 99 Percentiles: 2.5th: 2 25th: 9 50th: 15 75th: 25 97.5th: 65 50 100 50 100 Randomization Group Graphs by group Please note: SE(xbar_control - xbar_treatment)= 1.9 Headache Severiy Score
Based on the given study results, compute a 95% confidence interval (CI) for the true mean difference in
headache severity scores (at 3 months post-randomization) for the Acupuncture group compared to the Control
group. Is this difference in means statistically significant?
Yes, because the 95% CI does not include 1.
No, because the 95% Cl includes 1.
Yes, because the 95% Cl does not include 0.
No, because the 95% Cl includes 0.
This 95% Cl can't be computed because I was only given the standard error of the mean difference for the Control
group compared to the Acupuncture group.
Transcribed Image Text:Based on the given study results, compute a 95% confidence interval (CI) for the true mean difference in headache severity scores (at 3 months post-randomization) for the Acupuncture group compared to the Control group. Is this difference in means statistically significant? Yes, because the 95% CI does not include 1. No, because the 95% Cl includes 1. Yes, because the 95% Cl does not include 0. No, because the 95% Cl includes 0. This 95% Cl can't be computed because I was only given the standard error of the mean difference for the Control group compared to the Acupuncture group.
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