A company claims that its light bulbs are superior to those of its main competitor. A study showed that a sample of ଵ = 40 of its bulbs had a mean life time of 647 hours with a standard deviation of 27 hours, while a sample of ଶ = 40 bulbs made by its main competitor had a mean life of 638 hours with a standard deviation of 31 hours. Does this substantiate the claim at the 0.05 level of significance?
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