Boxes of cereal are labeled as containing 14 ounces.  Construct a 95% confidence interval estimate for the mean weight.  (Assume a normal distribution and that the population standard deviation is unknown.)   14.2 14.1 14.2 13.7 13.9 14.0 13.9 14.3 13.8 13.7 13.9 14.2   What is the calculated mean (round to 1 decimal place): _____ What is the calculated standard deviation (round to 2 decimal places): _________ What is the confidence interval (round each value to 2 decimal places): ___________   The quality control manager is concerned that the mean weight is actually less than 14 ounces. Based on the confidence interval, is there a reason to be concerned?  Explain your answer._______

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