Confidence Intervals 2 - Confidence Intervals Click to edit...

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Click to edit Master subtitle style 3/20/11 Confidence Intervals
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3/20/11 Quick Review Constructing a CI 1. 2. 3. 4. 5. 6.
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3/20/11 t-distribution Student’s t-distribution Similar to a standard normal distribution Symmetric, bell shaped, centered on the mean (0) Has variance slightly larger than 1 t-distributions have ‘fatter’ tails than a normal distribution (leptokurtic)
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3/20/11 t-distribution http://ci.columbia.edu/ci/premba_test/c0331/images/s7/631 7178747.gif
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3/20/11 t-distribution Where ν is the degrees of freedom (dof)
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3/20/11 t-distribution Degrees of freedom are the number of values that are allowed to vary after restrictions have been placed on all data values If ten students have a mean of 90 on an exam, the scores for the first nine students can be freely assigned, but once they have been assigned the tenth is determined (nine degrees of
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3/20/11 t-distribution The larger the sample size (dof), the closer the t-distribution is to a standard normal distribution For n > 30, the differences are small
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Click to edit Master subtitle style 3/20/11 CIs for the mean Using the t-distribution
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