(a) Construct a 95% confidence interval for the difference in mean pain intensity between the two treatments at 14 days after treatment. (Use ?Vertebroplasty − ?Placebo. Use SALT. Round your answers to three decimal places.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
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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. 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 = 73 n = 76
  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
 
(a)
Construct a 95% confidence interval for the difference in mean pain intensity between the two treatments at 14 days after treatment. (Use ?Vertebroplasty − ?Placebo. Use SALT. Round your answers to three decimal places.)
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