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Confidence Interval

  • Confidence interval at x':
    \[ \bar{x}\pm t_{c}\hat{\sigma}_{\bar{x}} \]
    • x is a sample of data set;x' is the mean of sample
      tc is the critical t-value, calculated by a look-up  
      \[ \hat{\sigma}_{\bar{x}}=\frac{s}{\sqrt{l}} \]
      is the estimated standard error of the mean
  • Example : $50,000 ± $3,000 with 95% confidence
    • Treat points in cube cell as samples
    • Compute confidence interval as traditional sample set 
  • Return answer in the form of confidence interval 
    • Indicates quality of query answer  
    • User selects desired confidence interval  

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