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Problem: An insurance company suspects that the typical number of claims per major city is exceeding the past average of 70 claims, with standard deviation of 8.9. Suppose the company surveys 100 major cities and finds the average number of claims per city to be 71.8. At a significance level of = 0.05, test to determine if these sample data support the company's suspicion? Provide justifications and citations for your responses.

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