Two machines used to fill soft drink containers are being compared. The number of containers filled each minute is counted for 26 minutes for each machine. During the 26 minutes, machine 1 filled an average of 69.2 cans per minute with a sample standard deviation of 2.1 cans per minute, and machine 2 filled an average of 68.5 cans per minute with a sample standard deviation of 3.1 cans per minute. Assume both populations are normally distributed and the population standard deviations are unequal. Can you conclude that machine 1 is faster than machine 2 at the a = 0.05 level? State the relevant hypotheses, compute the test statistic and p- value, and state your conclusion in context.

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