(Solved): A machine used to fill beverage cans is supposed to put exactly 12 ounces of beverage in each can, ...

A machine used to fill beverage cans is supposed to put exactly 12 ounces of beverage in each can, but the actual amount varies randomly from can to can. In a sample of 50 cans, the standard deviation of the amount was $$s=0.05$$ ounce. A simple random sample of filled cans will have their volumes measured, and a $$98\%$$ confidence interval for the mean fill volume will be constructed. Estimate the number of cans that must be sampled for the margin of error to be equal to $$0.02$$ ounce. The sample size required for the desired margin of error is $$n=$$ (Round your answer to next whole number.)