Question: The time to process customer orders at an internet-based business is known to be normally distributed with mean 3.5 days and standard deviation 0.5 day.

The time to process customer orders at an internet-based business is known to be normally distributed with mean 3.5 days and standard deviation 0.5 day. A random sample of twenty orders is selected, and the average processing time is found to be 4 days. The owner of the business considers hiring somebody to improve the process if the average order processing time (i.e., ) has increased above 3.5.

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