Question: Would a bigger sample help us to assess manufacturing consistency? Suppose instead of the 50-candy bags of Exercise 26, we work with bags that contain

Would a bigger sample help us to assess manufacturing consistency? Suppose instead of the 50-candy bags of Exercise 26, we work with bags that contain 200 M&M’s each. Again we calculate the proportion of green candies found.

a) Explain why it’s appropriate to use a Normal model to describe the distribution of the proportion of green M&M’s they might expect.

b) Use the 68-95-99.7 Rule to describe how this proportion might vary from bag to bag.

c) How would this model change if the bags contained even more candies?

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