Question

A quality analyst at a bottling plant measures fill volumes that follow an approximately normal distribution with a mean of 500 mL and a standard deviation of 4 mL. Management wants to know what percentage of bottles are expected to fall between 492 mL and 508 mL so they can set acceptance limits. Using the empirical rule, what is the analyst's best answer?

Accepted Answer

Approximately 95% of bottles fall within this range

Answer

Approximately 68% of bottles fall within this range

Answer

Approximately 99.7% of bottles fall within this range

Answer

Approximately 50% of bottles fall within this range