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Your company has a contract to perform preventive maintenance on thousands of air-conditioners in a large...

Your company has a contract to perform preventive maintenance on thousands of air-conditioners in a large city. Based on service records from previous years, the time that a technician spends servicing a unit averages one hour with a standard deviation of one hour. In the coming week, your company will service a simple random sample of 80 units in the city. You plan to budget an average of 1.1 hours per technician to complete the work. Will this be enough time? (Suppose your company will assume this is enough time if there is a 90% chance the maintenance will be less than 1.1 hours. Round your probability to four decimal places.)

The probability it will take less than 1.1 hours is approximately _____. Because this is _____(less than/greater than) 90%, more time ______ (is/is not) needed.

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