A zoo keeper 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 T 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 Zoo keeper found that σ2, the population variance, was approximately equal to 36.00 (grams)2. Determine the required sample size.