Question

Crawford 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 much as 102mg without experiemcing any ill effects. Because of potential Liability issues, crawford has determined that it is imperative that manufactuirng be able to provide six sigma quality levels. at present, the manufacturing process has a mean of 100 mg and a standard deviation of 0.25 mg. Show steps

What are the upper and lower tolerance limits for vaxidene?

Answer 1

The upper and lower tolerance limits for Crawford Pharmaceuticals' drug Vaxidene are 102 mg and 98 mg respectively, which define the acceptable range of dosage within Six Sigma quality levels.

Step-by-step explanation:

In Six Sigma quality control, the upper and lower tolerance limits define the range within which a product's quality measurement must fall. In the case of Crawford Pharmaceuticals' drug, Vaxidene, the target dose is 100 mg with an acceptable range from 98 mg to 102 mg. The standard deviation is given as 0.25 mg.

The question is asking for the tolerance limits, which can be found by considering the process capability index (Cpk), a standard Six Sigma metric. Six Sigma corresponds to a process that produces 3.4 defects per million, which translates roughly to specifications that lie 6 standard deviations (sigma) away from the mean on each side. Therefore, the upper and lower specification limits (USL, LSL) for dosage of Vaxidene are:

• Lower tolerance limit (LSL) = 98 mg
• Upper tolerance limit (USL) = 102 mg

To achieve six sigma quality levels, the manufacturing process must ensure that nearly all doses fall within these limits.