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An analyst is conducting a hypothesis test to determine if the mean time spent on investment research by portfolio managers is different from 3 hours per day. The test uses a random sample of 100 portfolio managers, where the sample mean time spent on research is found to be 2.5 hours. The population standard deviation is 1.5 hours. What is the half-width (from the middle of the confidence interval to either of the confidence limits) of the 99% confidence interval for the population mean time spent on investment research by portfolio managers?

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