The quality assurance manager is assessing the capability of a process that puts pressurized grease in an aerosol can. The design specifications call for an average of 60 pounds per square inch (psi) of pressure in each can with an upper tolerance limit of 65 psi and a lower tolerance limit of 55 psi. A sample is taken from production and it is found that the cans average 61 psi with a standard deviation of 2 psi. What is the capability of the process

2/3, Since Cpk is less than 1, the process needs improvement.

Step-by-step explanation:

Process capabiltiy is measured by Cpk value which is calculated as below

Cpk= min((USL-mean)/3σ, (mean-LSL)/3σ)

      = min((65-61)/6, (61-55)/6)

      = min(2/3, 1)

Cpk= 2/3

Process needs improvement

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

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