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Statistics - Hypothesis Testing

An auditor received 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $275.66 with a standard deviation of $78.11. (a) At the 5 percent level of significance, does this sample prove a violation of the guideline that the average patient should pay no more that $250.00 out-of-pocket? State your hypothesis and decision rule. (b) Is this a close decision.

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