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the weight of the population of cans of coke are normally distributed with a mean of...

the weight of the population of cans of coke are normally distributed with a mean of 12 oz and a population standard deviation of 0.1 oz. A sample of 7cans is randomly selected from the popuation.

(a) find the standard error of the sampling distribution. round your answer to 4 decimal places.

(b) using the answer from part (a), find the probability that a sample of 7 cans will have a sample mean amount of at least 12.02 oz. Round your answer to 4 decimal places.

(c) using the answer from (a), find the probability that a sample of 7 cans will have a sample mean weight between 11.99 oz and 12.02 oz. Round your answer to 4 decimal places.

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