Testing Hypotheses: Two Sample Tests

A buffered aspirin recently lost some of its market share to a new competitor. The competitor advertised that its brand enters the bloodstream faster than the buffered aspirin does and, as a result, it relieves pain sooner. The buffered-aspirin company would like to prove that there is no signifi cant difference between the two products and, hence, that the competitor’s claim is false. As a preliminary test, 9 subjects were given buffered aspirin once a day for 3 weeks. For another 3 weeks, the same subjects were given the competitive product. For each medication, the average number of minutes it took to reach each subject’s bloodstream was recorded: Subject 123456789 Buffered aspirin 16.5 25.5 23.0 14.5 28.0 10.0 21.5 18.5 15.5 Competitor 12.0 20.5 25.0 16.5 24.0 11.5 17.0 15.0 13.0 At α = 0.10, is there any signifi cant difference in the times the two medications take to reach the bloodstream?

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