To avoid difficulties with the Federal Trade Commission or State and local consumer protection agencies, a beverage bottler must make reasonably certain that 12-ounce bottles actually contain 12 ounces of beverage. To determine whether a bottling machine is working satisfactorily, one bottler randomly samples 24 bottles per hour and measures the amount of beverage in each bottle. The mean of the 24 fill measurements is used to decide whether to readjust the amount of beverage delivered per bottle by the filling machine. If records show that the amount of fill per bottle is normally distributed with a standard deviation of 0.45 ounce, and if the bottling machine is set to produce a mean fill per bottle of 12.11 ounces, what is the standard deviation of the sampling distribution of the average fill of the 24 sample bottles?

Write the answer with 3 decimal places.