The owner of a large equipment rental company wants to make a rather quick estimate of the average number of days a piece of ditchdigging equipment is rented out per person per time. The company has records of all rentals, but the amount of time required to conduct an audit of all accounts would be prohibitive. The owner decides to take a random sample of rental invoices. Fourteen different rentals of ditchdiggers are selected randomly from the files, yielding a sample mean of 2.14 and a sample standard deviation of 1.29.
The upper limit of the 99% confidence interval of the average number of days that a ditchdigger is rented is
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