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Lay's buys potatoes from two different suppliers, X and Y. The weights of potatoes from supplier X are approximately Normally distributed with a mean of 175 grams and a standard deviation of 25 grams. The weights of potatoes from Y 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 selected sample of 20 potatoes from each shipment and weight them. Let xY - xX be the difference in the sample mean weight of potatoes from the two suppliers. Describe the shape, mean, and standard deviation of the sampling distribution of xY - xX.

. Single choice.

(6.5 Points)

Shape: Normal; Center: 5 grams; Spread: 8.73 grams

Shape: Normal; Center: 10 grams; Spread: 0.205 grams

Shape: Right skewed; Center: 10 grams; Spread: 0.205 grams

Shape: Left skewed; Center: 5 grams; Spread: 8.73 grams

Shape: Left skewed; Center: 10 grams; Spread: 0.205 grams