DEX Pharmaceuticals has developed a new drug, Vaxidene. The target amount for a single dose of Vaxidene is 100 mg. Patients can receive as little as 98 mg or as many as 102 mg without receiving any ill effects. Because of potential liability issues, Crawford has determined that it is absolutely imperative that manufacturing be able to provide six sigma quality levels. At present, the manufacturing process has a process mean of 100 mg and a standard deviation of 0.25 mg.
Is DEX manufacturing process currently able to meet the dosage specifications at least 99.7 percent of the time? Explain or show why or why not. What would the standard deviation for the process have to be in order for DEX to achieve six sigma quality levels?