PSCB 574 Walden University The Control Chart at Pareto Chart Question

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wnambr123

Business Finance

PSCB 574

Walden University

PSCB

Description

Hello, can you please help explain in detail the control chart and pareto chart?

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Type of complaint Low or high salt content flavoring issues Burned potato chips poorly diried chips Inadquate number of potato chips Number of complaints cummulative cumulative % 143 143 49,14 83 226 77,66 31 257 88,32 24 281 96,56 10 291 100,00 Pareto chart 160 140 120 100 80 60 40 20 0 Low or high salt flavoring issues content Burned potato chips poorly diried chips 120,00 100,00 80,00 60,00 40,00 20,00 0,00 poorly diried chips Inadquate number of potato chips (in %) Sample 1 Sample 2 Sample 3 Sample 5 Sample 4 1 1,99 2 2,12 2,18 2,14 2 2,13 2,08 1,99 2,23 2,16 Mean (u) standard deviation CP=(USL-LSL)/6s USL LSL CP Cpk=min{(USL-u)/3s, (u-LSL)/3s} (USL-u)/3s (u-LSL)/3s Therefore Cpk is 3 X-bar UCL X-bar 2,15 2,09 2,215 2,09 1,98 2,02 2,215 2,09 2,16 2,09 2,215 2,09 2,01 2,14 2,215 2,09 1,98 2,09 2,215 2,09 2,09 0,04 2,2 1,9 1,17 0,88 1,45 0,88 LCL 1,958 1,958 1,958 1,958 1,958 X-bar chart 2,25 UCL 2,20 2,15 2,10 2,05 2,00 LCL 1,95 1,90 1,85 1,80 1 2 3 4 5
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Explanation & Answer

View attached explanation and answer. Let me know if you have any questions.I added the (Range) R chart into the Excel document. Simultaneously we can interpret both the R chart and xbar chart. :) I assumed that you have been given the LSL and USL values. Otherwise, equations 1 and 2 can be used to find them. Please let me know if you need me to change anything.

1

Evaluation of the control chart and process metrics using the statistical process control
methods

First and Last Name
The University of ………………….
Course Code: Name of Course
Instructor Name
Due Date

2
i) Control charts
Generally, the two types of variations in a process are common cause variation and special
cause variation. Special cause variation is inconsistent over time and it can be identified by using
a control chart. The control chart consists of a centerline, upper and lower control limits. The
limits create boundaries for a common cause and special cause variation. When the data is
plotted, if all the data points are within the control limits, the process is normally distributed. But
if the points move beyond the control limits, there could be a special cause variation. The
following equations and the tables of constants for control charts were used to determine the
UCL and LCL for the x̅ chart and R chart.
x̅ chart
𝑈𝐶𝐿𝑋 = 𝑥̅ + 𝐴2 𝑅̅ → 𝐸𝑞𝑢𝑎𝑡𝑖𝑜𝑛 1...


Anonymous
Great study resource, helped me a lot.

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