Use the following table to answer the question(s) below.

-A producer of contact lenses regularly takes samples of 100 lenses and inspects them for scratches. If a lens has a single scratch, it cannot be sold. The results of 10 samples are shown. What are the lower and upper 3-sigma control limits?
A) (-0.021, 0.012)
B) (-0.021, 0.000)
C) (0.012, 0.035)
D) (0.000, 0.035)
E) (0.000, 0.049)

Question

Use the following table to answer the question(s) below.
 
-A producer of contact lenses regularly takes samples of 100 lenses and inspects them for scratches. If a lens has a single scratch, it cannot be sold. The results of 10 samples are shown. What are the lower and upper 3-sigma control limits?
A) (-0.021, 0.012) 
B) (-0.021, 0.000) 
C) (0.012, 0.035) 
D) (0.000, 0.035) 
E) (0.000, 0.049)

Quizplus · Accepted Answer

The control limits for a process can be calculated using the formula for 3-sigma limits: p ± 3√(p(1-p)/n), where p is the proportion of defects and n is the sample size. Given the sample size of 100, the limits are calculated to be (0.000, 0.049).

Use the Following Table to Answer the Question(s) Below