As part of a research on nutrition, a particular protein diet was tried out on a large group of mice. Researchers claimed that the new diet led to an increase in the weight of the mice. Assuming that it is known from previous studies that σ = 4.5 grams, how many mice should be included in our sample if we wish to be 95% confident that the mean weight of the sample will be within 3 grams of the population mean for all mice subjected to this protein diet?

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