Multi-sensor data loggers were attached to free-ranging American alligators in a study conducted by Y. Watanabe for the article “Behavior of American Alligators Monitored by Multi-Sensor Data Loggers”. The margin of error for a sample of 68 dives was 31.2 seconds. Assume the population standard deviation is 100 seconds. If for the next study, a confidence interval for μ is to have a margin of error of 25 seconds and a confidence level of 99%, determine the required sample size. (Round up to the nearest whole number.)
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