We wish to compare the average breaking weight  of two brands of sting, Brand A and Brand B.  In order to do so we have tested the breaking weight  of 100 strands of Brand A.  We obtain a sample average breaking weight of 55 pounds with a sample standard deviation of 5 pounds.  For a sample of 100 strands of Brand B we find a sample average breaking weight of 45 pounds with a sample standard deviation of 8 pounds.  Find the margin of error for the 99% confidence interval for the difference in the population average breaking weights of the two brands

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