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A New Manufacturing Method Has Been Introduced to Streamline the Canning

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A new manufacturing method has been introduced to streamline the canning process of cherries.Although the time to fill a can has been reduced,the quality control manager is concerned about the uniformity of the amount of cherries in each can.The manager randomly samples 80 cans over an eight hour shift and obtains a mean cherry content of 14.64 grams.The population standard deviation is known to be 0.4 grams.If cherry content is normally distributed,the 95% confidence interval for the mean cherry content,in grams,is _____.


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