you sample 100 apples from your farm's harvest of over 200,000 apples. the mean weight of the sample is 112 grams.

you sample 100 apples from your farm's harvest of over 200,000 apples. the mean weight of the sample is 112 grams. let's assume that you know the weight of all apples produced by your farm is normally distributed and the standard deviation of the weight is 40 grams. 99% confidence interval; if we want to quadruple the length of the confidence interval found in question 1 (what is the 99% confidence interval for the mean weight of apples of your farm?), while keeping the same confidence level at 99%, how many apples should we sample to begin with?