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# Lecture 6 - More Hypothesis Testing Suppose we are...

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More Hypothesis Testing Suppose we are interested in the effect of "Absotox" on cognitive ability. Our plan: to select 25 participants, administer Absotox, and then have them take the Hurlburt Anagrams Test ("HAT"). The score on the HAT is the number of seconds required to solve a series of anagrams. We have used the HAT in many previous studies, and know that in undrugged subjects, HAT scores are normally distributed with mean 90 seconds and standard deviation 20 seconds. Previous research has shown that drugs like Absotox disrupt cognitive functioning. Does Absotox affect cognitive ability?

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H 0 : = 90 sec H 1 : 90 sec
II. Set the criterion for rejecting H 0 A. Level of significance? Level of significance = .05 unless otherwise specified. B. Directional or nondirectional? Directional because we have reason to expect Absotox impairs ability . Therefore z cv = 1.645 C. Two illustrations of criterion 1. ...on sample statistic 2. ...on test statistic

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III. Collect a sample and compute the observed values of the sample statistic and the test statistic n = 25 HAT Scores (sec): 95, 106, 75, 118, 99, 127, 79, 20, 109, 101, 94, 91, 121, 94, 97, 94, 121, 105, 111, 135, 71, 73, 108, 65, 119 So X = 2428 Then = X / n = 2428/25 = 97.12 sec SAME AS BEFORE
III. Collect a sample and compute the observed values of the sample statistic and the test statistic So z obs = ( - μ ) / σ = (97.12 - 90)/4.00 = 1.78 SAME AS BEFORE X

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IV. Interpret the results
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Lecture 6 - More Hypothesis Testing Suppose we are...

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