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Grandma Gertrudes Chocolates, a family owned business, has an opportunity to sup

ID: 3155491 • Letter: G

Question

Grandma Gertrudes 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. In order to determine the mean % cacao in its dark chocolate products, quality inspectors sample 36 pieces. They find a sample mean of 55% with a standard deviation of 4%. What is the correct value of t* to construct a 90% confidence interval for the true mean % cacao? Round to three decimal places. a. 1.318 b. 2.030 c. 1.711 d. 1.690 e. 2.797

Explanation / Answer

Lets use t table to calculate t value http://davidmlane.com/hyperstat/t-table.html

Now for n=36, df=35

So at 90% CI i.e for alpha 0.1 we get t value =1.690