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The goal for the size of the Santa on a Christmas Santa cup is 3.5 cm (T) with an acceptable tolerance of ± 0.9 cm. The grand mean of the size of the Santa from the samples that were taken is 3.4 cm (m) and the standard deviation is 0.28 cm. What is CPk? (rounded to three decimals) 1.500 0.952 0.800 0.705 0.000

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secastanomu

Answer:

The Cpk is 0.952

Step-by-step explanation:

The formula to calculate the Cpk of a process is

[tex]Cpk = min(\frac{USL-mean}{3*sigma}, \frac{mean-LSL}{3*sigma} )[/tex]

where

USL (Upper Specification Limit) =3.5cm+0.9cm = 4.4cm

LSL (Lower Specification Limit) =3.5cm-0.9cm=2.6cm

Standard Deviation = sigma = 0.28cm

Mean = 3.4cm

So,

[tex]Cpk=min(\frac{4.4-3.4}{3*0.28} ,\frac{3.4-2.6}{3*0.28})\\\\Cpk=min(\frac{1}{0.84} ,\frac{0.8}{0.84})\\\\Cpk=min(1.190 ,0.952)\\\\\\[/tex]

The Cpk is 0.952

abiolataiwo2015

If the standard deviation is 0.28 cm CPk is 0.952.

CPK

Using this formula

Cpk=Min(Upper Specification Limit-Mean)/3×Standard Deviation; (Means-Lower Specification Limit)/3×Standard Deviation

Where:

Standard Deviation= 0.28cm

Mean = 3.4cm

Upper Specification Limit) =3.5cm+0.9cm = 4.4cm

Lower Specification Limit=3.5cm-0.9cm=2.6cm

Let plug in the formula

Cpk=Min(4.4-3.4)/3×0.28, (3.4-2.6)/3×0.28

Cpk=Min(1/0.84), (0.8/0.84)

Cpk=Min(1.190, 0.952)

Cpk=0.952

Thus, If the standard deviation is 0.28 cm CPk is 0.952.

Learn more about CPK here:https://brainly.com/question/15351734

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