quality control inspector is checking the bagging machines at a plant processing peanuts. The machines are calibrated to produce bags of peanuts with a mean of 11.5 ounces and a standard deviation of 0.29 ounces. The inspector randomly samples 56 bags from the machines and finds a sample mean of 11.44 ounces. Round your answer to 3 decimal places where appropriate.

What should be the standard deviation for the sampling distribution of the sample mean bag weight the inspector might find?