Is injecting medical cement effective in reducing pain for people who have suffered fractured vertebrae? A paper describes an experiment to compare patients who underwent vertebroplasty (the injection of cement) to patients in a placebo group who underwent a fake procedure in which no cement was actually injected. Because the placebo procedure was similar to the vertebroplasty procedure except for the actual injection of cement, patients participating in the experiment were not aware of which treatment they received. All patients were asked to rate their pain at three different times—3 days, 14 days, and 1 month after the procedure. Summary statistics are given in the accompanying table.   Pain Intensity   Vertebroplasty Group Placebo Group   n = 76 n = 62   mean sd mean sd 3 days 4.2 2.8 3.9 2.9 14 days 4.3 2.9 4.5 2.8 1 month 3.9 2.9 4.6 3.0   Construct and interpret a 95% confidence interval for the difference in mean pain intensity 3 days after treatment for the vertebroplasty treatment and the fake treatment. (Use μVertebroplasty − μPlacebo. Round your answers to two decimal places.) _________ to __________   Construct and interpret 95% confidence intervals for the difference in mean pain intensity at 14 days after treatment. (Use μVertebroplasty − μPlacebo. Round your answers to two decimal places.) _________ to ___________   Construct and interpret 95% confidence intervals for the difference in mean pain intensity at 1 month after treatment. (Use μVertebroplasty − μPlacebo. Round your answers to two decimal places.) _________ to __________

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Is injecting medical cement effective in reducing pain for people who have suffered fractured vertebrae? A paper describes an experiment to compare patients who underwent vertebroplasty (the injection of cement) to patients in a placebo group who underwent a fake procedure in which no cement was actually injected. Because the placebo procedure was similar to the vertebroplasty procedure except for the actual injection of cement, patients participating in the experiment were not aware of which treatment they received.
All patients were asked to rate their pain at three different times—3 days, 14 days, and 1 month after the procedure. Summary statistics are given in the accompanying table.
  Pain Intensity
  Vertebroplasty
Group
Placebo Group
  n = 76 n = 62
  mean sd mean sd
3 days 4.2 2.8 3.9 2.9
14 days 4.3 2.9 4.5 2.8
1 month 3.9 2.9 4.6 3.0
 
Construct and interpret a 95% confidence interval for the difference in mean pain intensity 3 days after treatment for the vertebroplasty treatment and the fake treatment. (Use μVertebroplasty − μPlacebo. Round your answers to two decimal places.)
_________ to __________
 
Construct and interpret 95% confidence intervals for the difference in mean pain intensity at 14 days after treatment. (Use μVertebroplasty − μPlacebo. Round your answers to two decimal places.)
_________ to ___________
 
Construct and interpret 95% confidence intervals for the difference in mean pain intensity at 1 month after treatment. (Use μVertebroplasty − μPlacebo. Round your answers to two decimal places.)
_________ to __________
 
 
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