Salmon A specialty food company sells wholeKing Salmon to various customers. The mean weight ofthese salmon is 35 pounds with a standard deviation of2 pounds. The company ships them to restaurants inboxes of 4 salmon, to grocery stores in cartons of16 salmon, and to discount outlet stores in pallets of100 salmon. To forecast costs, the shipping departmentneeds to estimate the standard deviation of the meanweight of the salmon in each type of shipmenta) Find the standard deviations of the mean weight of thesalmon in each type of shipment.b) The distribution of the salmon weights turns out tobe skewed to the high end. Would the distribution ofshipping weights be better characterized by a Normalmodel for the boxes or pallets? Explain.

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Author:Amos Gilat
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Salmon A specialty food company sells whole
King Salmon to various customers. The mean weight of
these salmon is 35 pounds with a standard deviation of
2 pounds. The company ships them to restaurants in
boxes of 4 salmon, to grocery stores in cartons of
16 salmon, and to discount outlet stores in pallets of
100 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
a) Find the standard deviations of the mean weight of the
salmon in each type of shipment.
b) The distribution of the salmon weights turns out to
be skewed to the high end. Would the distribution of
shipping weights be better characterized by a Normal
model for the boxes or pallets? Explain.

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