According to the records of a soft drink company, the bottles for their one-liter-sized products contain an average (mean) of

1.01

liters of beverage, with a standard deviation of

0.16

liters. As part of routine quality assurance, a sample of

60

bottles has been taken. The sample mean amount of beverage in these

60

bottles was

0.997

liters.

Assuming the company's records are correct, find the probability of observing a sample mean of

0.997

liters or less in a sample of

60

bottles.

Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.