What is the spread (standard deviation) of the sampling distribution of Xc - Xr? Round your answer to two decimal places.

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A potato chip manufacturer buys potatoes from two different suppliers, Riderwood Farms and Camberley, Inc.  The weights of potatoes from Riderwood Farms are approximately Normally distributed with a mean of 175 grams and a standard deviation of 25 grams.  The weights of potatoes from Camberley are approximately Normally distributed with a mean of 180 grams and a standard deviation of 30 grams.  When shipments arrive at the factory, inspectors randomly select a sample of 20 potatoes from each shipment and weigh them.  They are surprised when the average weight of the potatoes in the sample from Riderwood is higher than the average weight of the potatoes in the sample from  Camberley.

 

What is the spread (standard deviation) of the sampling distribution of Xc - Xr? Round your answer to two decimal places. 

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