UltraProduct is testing two alternative order processing systems. System 1 processes orders on essentially a “first come, first served” basis. System 2 uses a more sophisticated simulation based technique. Using a sample of 50 orders processed under System 1 and 50 orders processed under System 2, UltraProduct finds the average delivery time for the System 1 sample is 29.2 days, with standard deviation of 4.5 days. For the System 2 sample, average delivery time is 13.1 days with standard deviation of 3.5 days. Build and interpret the 90% confidence interval here to estimate the difference in average delivery times for the two systems.
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