g A milling process has an upper specification of 1.68 millimeters and a lower specification of 1.52 millimeters. A sample of parts had a mean of 1.6 millimeters with a standard deviation of 0.03 millimeters. what standar deviation will be needed to achieve a process capability index

Complete Question

A milling process has an upper specification of 1.68 millimeters and a lower specification of 1.52 millimeters. A sample of parts had a mean of 1.6 millimeters with a standard deviation of 0.03 millimeters. what standard deviation will be needed to achieve a process capability index f 2.0?

The value required is  

Step-by-step explanation:

From the question we are told that

   The upper specification is  

    The lower specification is  

     The sample mean is  

     The standard deviation is  

Generally the capability index in mathematically represented as

Now what min means is that the value of  CPk is the minimum between the value is the bracket

          substituting value given in the question

=>      

So

Now from the question we are asked to evaluated the value of  standard deviation that will produce a  capability index of 2

Now let assuming that

So

=>    

=>    

So

=>      

Hence

So

So     is  the value of standard deviation required

true

step-by-step explanation:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,