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The weights of all packages of a certain brand of cookie are normally distributed withµ = 32 and σ = 0.3 (ounces).

(a) Calculate the probability that one package of cookies weighs between 31.8 and 32 ounces.

(b) Consider a sample of 20 individual packages. Calculate and interpret the standard error.

(c) Calculate the probability that the mean from a sample of 20 packages weighs between 31.8 and 32 ounces.

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