PJM 440 X Bar and R Charts Based on Sample Bolts Discussion
PJM440 MOD5 Discussion Post, Peer responses.Please reply to both POST1: and POST2: in at least 250 words. I have included the original post and references to help out with your responses.RequiredChapters 17 & 18 in Quality Management for Organizational Excellence: Introduction to Total QualitySnee, R. D., & Hoerl, R. W. (2018). The future of quality. The Journal of Quality and Participation, 40(4), 11-17. Slides 188-226 in the PowerPoint supplement to Quality Management for Organizational Excellence: Introduction to Total QualityRecommendedBazrkar, A., Iranzadeh, S., & Feghhi Farahmand, N. (2017). Total
quality model for aligning organization strategy, improving
performance, and improving customer satisfaction by using an approach
based on combination of balanced scorecard and lean six sigma. Cogent Business & Management, 4(1), 1-16.Singh, J., Singh, H., Pandher, R. P. S. (2017). Role of DMAIC approach in manufacturing unit: A case study. IUP Journal of Operations Management, 16(4), 52-67.ReferencesAmerican Society for Quality (ASQ). (2018a). What is quality
function deployment (QFD)? Retrieved from
http://asq.org/learn-about-quality/qfd-quality-fun...
American Society for Quality (ASQ). (2018b). Seven new
management and planning tools. Retrieved from
http://asq.org/learn-about-quality/new-management-...
Goetsch, D. L., & Davis, S. D. (2016). Quality management for organizational excellence: Introduction to total quality (8th ed.). Upper Saddle River, NJ: Pearson Education, Inc.Tague, N. (2004). The quality toolbox (2nd ed.). Milwaukee, WI: ASQ Quality Press.Original Post:A manufacturer produces bolts for commercial use, and tests the
quality of production by choosing a sample of 5 bolts every 2 hours from
production. Because of variation, not all bolts have the same length.
Shown below are 8 samples. Use the information below to construct an x bar chart, and R chart, and determine if the process is capable and in control.Sample 1: 8.01, 7.99, 7.99. 8.00, 7.98Sample 2: 8.03, 7.96, 8.01, 8.02, 7.97Sample 3: 7.96, 7.97, 7.96, 7.99, 8.01Sample 4: 8.00, 8.01, 7.97, 8.01, 7.99Sample 5: 8.02, 8.03, 7.99, 8.01, 8.02Sample 6: 8.02, 8.01, 7.97, 8.00, 8.01Sample 7: 8.03, 8.04, 8.03, 8.00, 7.99Sample 8: 7.96, 7.99, 8.02, 8.01, 7.98Prepare your charts using any tool you wish, i.e., PowerPoint, MS
Word, Excel, or free tools such as Apache OpenOffice and portable and
installable versions of LibreOffice. Save your document as a pdf file
for uploading to your discussion area. Answer the following questions:Is the process capable and in control?Why do we need both an x bar and R chart?When a process is in control, is it producing acceptable levels of quality?POST1:Quality
control charts are a tool used to monitor if a process is under
statistical control. The charts help to visualize differences and allow
for problems to be addressed quickly. X-bar and R-chart are a type of
control chart used to measure the variation between samples taken at a
given time. The control limits within each chart are used to monitor the
difference in mean for the future. For example, if a point is outside
of the control limits, the mean or variation of the process is
considered out of control (Goetsch & Davis, 2014).On an X-bar chart, the y-axis depicts the control limits and overall
mean, but the x-axis shows the sample group. X-Bar charts provide useful
information such as sample size, control limits, standard deviation,
overall mean, and the points beyond control. However, on the R-chart,
the y-axis depicts the range, overall mean, and control limits (Goetsch
& Davis, 2014).According to the X-Bar chart and R-Chart, all of the samples are in
the valid range of control. Both X-Bar and R-Charts are needed because
the X-bar chart shows how the average changes over time and the R-chart
shows how the range of the samples change over time. When a process is
in control, it does not necessarily mean that the process is producing
acceptable levels of quality. This means that the process is producing
minimal levels of variation. Also, in terms of quality, there is a
difference between customer satisfaction and quality.ReferencesGoetsch, D. L., & Davis, S. (2014). Quality management for organizational excellence : introduction to total quality. Pearson.POST2:When charting data that has more than two samples of data, you want to consider using x-charts and R-charts. In the sample data given and graphed (see attachment), here are the results.Is the process capable and in control?By
graphing the sample data set, you can see that there is very little
variation in the length of the bolts every 2 hours when tested. To prove
that the production quality is to standard, the Upper Control Limit and
Lower Control Limit (UCL & LCL) are set. UCL is set at 44.63442 and
the LCL is a negative number, which essentially means the LCL will be
set at zero. When you look at the data within these lines on the graph,
you will see that the data is capable, and quality is well within
control.Why do we need both an x bar and R chart?An x-chart is used to show the mean (average) of samples over time and an R-chart is used to show the variation, or range, in each sample over time (Goetsch & Davis, 2014).When a process is in control, is it producing acceptable levels of quality?Yes,
it is. The UCL and LCL are set to be the guiderails in a graphed
process for quality. Any data point going outside of these limits
creates instability in a process and is a great indicator to the leaders
of a project that there is an issue to address to ensure consistent
quality.Reference:Goetsch, D. L., & Davis, S. (2014). Quality management for organizational excellence: introduction to total quality. Pearson.