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Q: A savings and loan association needs information concerning the checking account balances of it's local customers. A random sample of 14 accounts was checked, yielding the following balances (rounded to the nearest dollar):
701 379 349 828 499 174 786
762 580 943 741 798 311 1096
Find a 99% confidence interval for the true mean cheking account balance, mean, for local customers. Assume that balances are normally distributed.