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An engineering firm is evaluating their back charges, and from this they claim that their average back charge is $1800. They randomly select 35 customers, and calculate the sample mean back charge to be $1975. If the standard deviation of back charges is $550, and alpha = 0.05, test the claim of the engineering firm. Perform an appropriate hypothesis test, showing the necessary calculations and/or explaining the process used to obtain the results.

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