Assume that the population is normally distributed and that the sample has been randomly selected. A manufacturer uses a new production method to produce steel rods. A random sample of 37 steel rods resulted in lengths with a mean 5+1 and standard deviation of 4.7 cm. At the 0.10 significance level, test the claim that the new production method has mean 5.5 cm, which was the mean for the old method.

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