Class Meeting 12

# Class Meeting 12 - CHEN 3010 Applied Data Analysis Class...

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CHEN 3010 Applied Data Analysis Class Meeting #12 Thursday, Oct. 7 th Today's Topics Reading for next Tuesday: pages 162-170 Homework #6 posted on web site, due Thu., Oct. 14 th Review of hypothesis testing concepts The "variance known" case: hypothesis testing confidence intervals Workshop on "variance known" tests

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4-3 Hypothesis Testing 4-3.3 One-Sided and Two-Sided Hypotheses Two-Sided Test : One-Sided Tests :
Hypothesis testing concepts Type I error (α) and associated test Alternate hypothesis: H 1 – what we want to prove or test uses > , < or called one-sided two-sided Null hypothesis: H 0 – the base case uses = always We reject H 0 / accept H 1 when H 0 is true Obtain sample, compute x If is far enough out of spec to be too unusual, we conclude that H 0 is false and H 1 is true x 4-3 Hypothesis Testing

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Normal Distribution with Two-sided Critical Region 0.00E+00 1.00E+00 2.00E+00 3.00E+00 4.00E+00 5.00E+00 6.00E+00 39.6 39.7 39.8 39.9 40 40.1 40.2 40.3 40.4 xbar f(xbar) 2 α 2 an value either here or there is too unusual to support H 0 , so we reject in favor of H 1 x
4-4 Inference on the Mean of a Population, Variance Known 4-4.1 Hypothesis Testing on the Mean We wish to test : The test statistic is :

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4-4 Inference on the Mean of a Population, Variance Known 4-4.1 Hypothesis Testing on the Mean Reject H 0 if the observed value of the test statistic z 0 is either: z 0 > z α /2 or z 0 < -z α /2 Fail to reject H 0 if -z α /2 < z 0 < z α /2
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## This note was uploaded on 10/11/2011 for the course CHEN 3010 taught by Professor Kompala,dh during the Spring '08 term at Colorado.

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Class Meeting 12 - CHEN 3010 Applied Data Analysis Class...

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