2) Grandma Gertrude's Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house...

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2) Grandma Gertrude's Chocolates, a family owned business, has an opportunity to supply its product fordistribution through a large coffee house chain. However, the coffee house chain has certain specificationsregarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products itsells. In order to determine the mean % cacao in its dark chocolate products, quality inspectors sample 49pieces. They find a sample mean of 60% with a standard deviation of 5%.a. Describe the sampling distribution for the sample mean.b. What is the standard error?c. What is the margin of error for 90% confidence?d. What is the margin of error for 95% confidence?e. Based on the sample results, find the 90% confidence interval and interpret.f. Based on the sample results, find the 95% confidence interval and interpret.g. For a more accurate determination of the mean weight, the quality control inspectors wish to estimate it within1% with 95% confidence. How many pieces of dark chocolate should they sample?