(Solved): Eat your cereal: Boxes of cereal are labeled as containing 14 ounces. Following are the weights, i ...

Eat your cereal: Boxes of cereal are labeled as containing 14 ounces. Following are the weights, in ounces, of a sample of 12 boxes. It is reasonable to assume that the population is approximately normal. Part: \( 0 / 2 \) Part 1 of 2 (a) Construct a \( 95 \% \) confidence interval for the mean weight. Round the answers to at least three decimal places. A \( 95 \% \) confidence interval for the mean weight is \[ <\mu< \] (b) 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. The quality control manager should concerned that the mean weight is actually less than 14 ounces.