Historical data indicated that the time required to service the conveyor belt at Coca-Cola Amatil’s Richlands operations can be modelled as a normal distribution with a standard deviation of 18.2 minutes. A random sample of 23 services revealed a mean service duration of 76.6 minutes. Determine a 90% confidence interval for the mean service time in minutes. State the lower bound of this interval correct to two decimal places.

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