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A company tested two different machines in order to buy the best one out of the...

A company tested two different machines in order to buy the best one out of the two machines. Machine 1 was run for 8 hrs and it produced an average of 130 parts per hour with a standard deviation of 9 parts. Machine 2 was run for 10 hrs and it produced an average of 111 parts per hour with a standard deviation of 6 parts. The production per hour of both machines is assumed as normally distributed. The standard deviation of the hourly productions of the two populations are unequal. Using a 2.5% significance level, can we conclude that the mean number of parts produced per hour by machine 1 is higher than that of machine 2?

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