The specification limit for a product is 9 cm +/- 1 cm. A process that produces the product has a mean of 9.5 cm and a standard deviation of 0.2 cm. What is the process capability, Cpk ?

Possible options:

A. 3.33

B. 1.67

C. 0.83

D. 2.50

E. none of the above

Answer is C. 0.83

Explanation:

Cpk is used here since the process mean isn't centered in the specification interval.

start by isolating the variable on one side by adding 43w^2 to both sides.   the equation will read:

25w^2+5=0

*subtract 5 from both sides*

25w^2=-5

*divide both sides by 25*

w^2=-1/5

*take the square root of both sides*

w=√(-1/5)

the square root of -1 is i.   the square root of 5 remains √5

the answer is i/√5.

hope this