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Grandma Gertrude\'s Chocolates, a family owned business, has an opportunity to s

ID: 3023992 • Letter: G

Question

Grandma Gertrude's Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house chain. However, the coffee house chain has certain specifications regarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products it sells. Suppose quality control inspectors at the coffee house chain take a sample of 100 pieces of this chocolate product from an incoming shipment. They find a sample average of 60% cacao with a sample standard deviation of 8%. What is the standard error of the sampling distribution of the sample mean? 

Explanation / Answer

Answer to the question)

n = 100

M = 0.60

s = 0.08

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Formula of standard error

Standard error = s/sqrt(n)

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On plugging the vlaues we get

Standard error = (0.08 /sqrt(100)

Standard error = 0.008