7.3 Comparing Two Population Means: Paired Difference Experiments
In Example 7.4, we compared two methods of teaching reading to “slow learners” by means of a 95% confidence interval. Suppose it is possible to measure the “reading IQs” of the “slow learners” before they are subjected to a teaching method. Eight pairs of “slow learners” with similar reading IQs are found, and one member of each pair is randomly assigned to the standard teaching method while the other is assigned to the new method. The data are given in Table 7.3. Do the data support the hypothesis that the population mean reading test score for “slow learners” taught by the new method is greater than the mean reading test score for those taught by the standard method?
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