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Statistics for Business: Decision Making and Analysis, 3rd Edition
book

Statistics for Business: Decision Making and Analysis, 3rd Edition

by Robert Stine, Dean Foster
January 2017
Beginner
882 pages
203h 41m
English
Pearson
Content preview from Statistics for Business: Decision Making and Analysis, 3rd Edition

... pot.

Compare that situation to the same bet after observing the sample and calculating the interval. Do we really want to bet in this case? Our friend knows μ, so she knows whether μ lies inside our confidence interval. If she takes this bet, don’t expect to win!

The difference lies in the timing. The formula X¯±t0.025,n1S/n produces an interval that covers μ in 95% of samples. The observed sample is either one of the lucky ones, in which the confidence interval covers μ, or it’s not. When we say “We are 95% confident,” we’re describing a procedure that works for 95% of samples. If we lined up the intervals from many, many samples, 95% of these intervals would contain μ and 5% would not. Our sample and confidence interval are a random draw from ...

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Publisher Resources

ISBN: 9780136759102