A food company sells salmon to various customers. The mean weight of the salmon is 28 lbs with a standard deviation of 4 lbs. The company ships them to restaurants in boxes of 4 salmon, to grocery stores in cartons of 49 salmon, and to discount outlet stores in pallets of 81 salmon. To forecast costs, the shipping department needs to estimate the standard deviation of the mean weight of the salmon in each type of shipment. Round all answers to 2 decimal places as needed.
(a) Find the standard deviation of the mean weight of the salmon in the boxes sold to restaurants. (Use the first blank.)
(b) Find the standard deviation of the mean weight of the salmon in the cartons sold to grocery stores. (Use the second blank.)
(c) Find the standard deviation of the mean weight of the salmon in the pallets sold to outlet stores. (Use the third blank.)