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A zookeeper wants to estimate total weight gain in 4 weeks of N=1000 penguins on a new ration. Obviously to catch and weigh each penguin

A zookeeper wants to estimate total weight gain in 4 weeks of N=1000 penguins on a new ration. Obviously to catch and weigh each penguin would be insane. Therefore, determine the number of penguins needed to be sampled in this study to estimate with a bound of error of estimate equal to 1000 grams. Many similar studies on penguin ration have been completed in the past Using data from these studies the Zookeeper found that , the population variance, was approximately equal to 36.00 (grams). Determine the required sample size.

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