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									Confidence Intervals

      CSE 6590
  Computing Confidence Intervals
• First compute sample mean and sample variance.




• Then T has Student's t-distribution with n − 1
  degrees of freedom, where
Computing Confidence Intervals (2)
• To calculate a 90% confidence interval for 



  where c is the 95th percentile of this distribution.
• As a result,
           How Is c Computed?
• The sample mean, variance and n are available from
  the experiments.
• c is obtained from Student’s t-distribution tables
  available in most textbooks on statistics and online.
• Example: given n = 10 samples and a confidence
  interval of 95%, c = 2.262.
• In summary, the confidence interval is computed as
  follows:

								
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