Construct a 99% confidence interval estimate of the difference between the mean weights of samples of 237 plain and 205 peanut butter M&Ms. From the samples, the average weight of a single plain M&M was 1.91 grams and the average weight of a single peanut butter M&M was 2.03 grams. The population standard deviation of plain M&Ms is 0.005 gm and the population standard deviation of peanut butter M&Ms is 0.008 gm.

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