A marine biologist would like to estimate the mean lifespan of all Florida manatees. The mean lifespan of a random sample of 37 Florida manatees was found to be 47 years. The standard deviation of the lifespans of all Florida Manatees is known to be 9.8 years. Using a 99.9% confidence level, determine a confidence interval for the mean lifespan of all Florida Manatees. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary. A 99.9% confidence interval is given by

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