QUESTION 23 Information for problems 23-25. Kellogg\'s Red Berries Breakfast Cer

Question

QUESTION 23 Information for problems 23-25. Kellogg's Red Berries Breakfast Cereals packaging process is to contain 16 oz of cereals with tolerances of t 1.0 oz. (.e., between 15.0 oz and 17.0 oz). The 3-? statistical process control of the packaging process has a mean of 15.9 oz with standard deviation ( ?)of O2 oz Cie. LCL 15.3 oz and UCL = 16.5 oz). What is the Process Capability Ratio Cp for this process? O Cp -1.48 Cp 1.67 O Cp -0.67 O Cp -0.33 QUESTION 24 What is the Process Capability Index Cpk for this process? O Cpk -0.42 O Cpk -0.50 OCpk -1.11 Cpk -1.50 Proctorio is sharing your screen Stop sharing Hide

Explanation / Answer

23)

Cp = (UCL-LCL)/(6*standard deviation) = (17-15)/(6*0.2) = 1.67

24)

Cpk = Min((UCL-Mean)/(3*standard deviation), (Mean-LCL)/(3*standard deviation))

= Min((17-15.9)/(3*0.2), (15.9-15)/(3*0.2)) = Min(1.83, 1.5) = 1.5

25) The process is capable but the mean is off centered and some corrective action should be taken

It is because of lower value of Cpk. The process is 6 sigma capable when values are closer or above 2

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