Step 1 :Given that the mean (\(\bar{x}\)) is 14.0 ounces, the standard deviation (\(\sigma\)) is 0.10 ounce, and the sample size (\(n\)) is 64.
Step 2 :The formula for the Lower Control Limit (LCL) in a \(\bar{x}\) chart is given by \(\bar{x} - 3\frac{\sigma}{\sqrt{n}}\).
Step 3 :Substitute the given values into the formula: LCL = 14.0 - 3 * (0.10 / \(\sqrt{64}\))
Step 4 :Calculate the value to get LCL = 13.9625
Step 5 :Round the final answer to two decimal places: \(\boxed{13.96}\) ounces.