A company has developed a new drug, Palifine Lysozaprine. The target amount for a single dose of Palifine Lysozaprine is 100 mg. Patients can receive as little as 98 mg or as much as 102 mg without experiencing any ill effects. Because of potential liability issues, company has determined that it is 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. a) What are the upper and lower tolerance limits for Palifine Lysozaprine? b) Is this company’s manufacturing process currently able to meet the dosage specifications at least 99.7% of the time? Show your work. c) What would the standard deviation for the process have to be in order for the company to achieve Six Sigma quality levels?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
A company has developed a new drug, Palifine Lysozaprine. The target amount for a single dose of Palifine Lysozaprine is 100 mg. Patients can receive as little as 98 mg or as much as 102 mg without experiencing any ill effects. Because of potential liability issues, company has determined that it is 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.
a) What are the upper and lower tolerance limits for Palifine Lysozaprine?
b) Is this company’s manufacturing process currently able to meet the dosage specifications at least 99.7% of the time? Show your work.
c) What would the standard deviation for the process have to be in order for the company to achieve Six Sigma quality levels?
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