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dsp73
4 years ago
5

Assume in a cookie packaging machine, the process average (the average weight of the packages) is 10.0 ounces and the process st

andard deviation is .12 of an ounce. The customer is asking for a target value of 10.1 ounces with tolerances of plus or minus .5 ounce. Is the machine capable of meeting customer expectation? (Support your answer.)
Business
1 answer:
ira [324]4 years ago
6 0

Answer:

the machine is capable of meeting customer expectation see the explanation below

Explanation:

For this question, to determine if the machine is capable of meeting customer expectation, we are going to calculate the process capability (Cpk) of cookie packaging machine.

Cpk = min (Cpl or CPU)

Where Cpl = (USL - Mean)/ 3 × standard deviation

Cpu= (mean - LSL)/3 × standard deviation

 Where

The process average (Mean) = 10.0 ounces

Tolerance = 0.5 ounces

Process Standard deviation (sd) = 0.12

Customer's Target value = 10.1 ounces ( plus or minus 0.5 ounce)

Therefore

Upper standard  limit (USL) = 10.1 + 0.5 = 10.6 ounces

Lower standard limit (LSL) = 10.1 - 0.5 = 9.6 ounces

So

Cpl = (USL - Mean)/ 3 × standard deviation

= (10.6 - 10.0)/3× 0.12

= 0.6/0.36

= 1.67

Cpu= (mean - LSL)/3 × standard deviation

= (10.0 - 9.6)/ 3 × 0.12

= 0.4/0.36

= 1.11

Since cpk = min(cpl,cpu)

Cpk is taken as 1.11

the machine is capable of meeting customer expectation

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India has 3 GDP of 23,000 billion Indian rupees, and a population of 1.1 billion. Theexchange rate is 50 rupees per US. dollar.
vekshin1

Answer:

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Explanation:

given data

India GDP = 23,000 billion

exchange rate = 50 rupees per US

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solution

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