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To compare the battery life of Duracell versus Energizer batteries, a sample of 140 Duracell batteries lasted an average of 345 minutes with a standard deviation of 95 minutes and a sample of 125 Energizer batteries lasted an average of 280 minutes with a standard deviation of 86 minutes. a) At the 1% level of significance, test the hypothesis that Duracell batteries last at least 45 minutes longer on average than Energizer batteries? b) What is the p-value?

To compare the battery life of Duracell versus Energizer batteries, a sample of 140 Duracell batteries lasted an average of 345 minutes with a standard deviation of 95 minutes and a sample of 125 Energizer batteries lasted an average of 280 minutes with a standard deviation of 86 minutes.
a) At the 1% level of significance, test the hypothesis that Duracell batteries last at least 45 minutes longer on average than Energizer batteries?
b) What is the p-value?

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