The weight of the large bag of M&M’s is approximately
normally distributed with mean of ? = 1176 grams and a standard
deviation of ? = 11.3 grams. Suppose 12 of these bags are randomly
(a) What is the mean and the standard deviation of the sampling distribution (SDSM)? Use the correct symbols.
(b) What is the probability that 12 randomly sampled large bags will have a sample mean weight less than 1170 grams? Round to 4 decimals.
(c) Is the probability calculated in part (b) valid? How do you know?
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