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Paired Student's t test

#5 In an investigation of the possible brain damage due to alcoholism, CAT scans were used to measure brain densities in eleven chronic alcoholics. Each alcoholic was paired with a non-alcoholic control selected to match the alcoholic on age, gender, education and other factors. The brain densities are given in the table.

Pair 1 2 3 4 5 6 7 8 9 10 11

Alcoholic 40.1 38.5 36.9 41.4 40.6 42.3 37.2 38.6 38.5 38.4 38.1
Control 41.3 40.2 37.4 46.1 43.9 41.9 39.9 40.4 38.6 38.1 39.5

5.1 What is the appropriate test if we want to know if there is a significant difference in the means?
5.2 Perform the test, reporting a p-value.

Solution Summary

The solution gives the students t test to examine the possible brain damage due to alcoholism. Each alcoholic was paired with a non-alcoholic control selected to match the alcoholic on age, gender, education and other factors. Step by step procedure for the comparison of mean brain densities for chronic alcoholics and control are given. Interpretations of the results are also given.

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