Question: Wall-Blues claims that its store brand of cough lozenge delivers soothing relief that lasts as long as the leading brand, Robinson’s. A sample of 72 Wall-Blues cough lozenges were tested and found to provide relief for 6.2 hours with a standard deviation s = 0.54 hours. A sample of 78 Robinson’s cough lozenges were also tested and found to provide relief for 5.9 hours with a standard deviation of s = 0.86 hours. We cannot assume that the population standard deviations are equal. At the .05 significance level, is there a difference in the number of hours of relief the two brands of cough lozenge provide?

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