6. An ambitious farmer has set out to maximize the size of the eggs laid by his chickens. After careful thought, he has decided to experiment with a new type of feed. Based on data acquired from the feed manufacturer, he learned that the standard deviation of the eggs laid by the chickens that consumed the new feed is 7.5 g. Of the following, which is the fewest number of eggs that should be sampled to obtain an estimate within 0.5 g of the true mean of egg weights, and at the farmer's insistence, at a confi- dence of 95 percent? (A) 29.4 (B) 100 (C) 609 (D) 864 (E) 865

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