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# Statistical Quality Control

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Small boxes of NurtraFlakes cereal are labeled "net weight 10 ounces." Each hour, random samples of size n = 4 are weighed to check process control Five hours of observations yielded the following:

Weight
Time Box 1 Box 2 Box 3 Box 4
9 a.m. 9.8 10.4 9.9 10.3
10 a.m. 10.1 10.2 9.9 9.8
11 a.m. 9.9 10.5 10.3 10.1
Noon 9.7 9.8 10.3 10.2
1 P.M. 9.7 10.1 9.9 9.9

Using these data, construct limits for x- and R-charts. Is the process in control? What other steps should the QC department follow at this point?

I have already answered the questions. What I need help is with the Excel Solver, that's where I am having problems. It is within control. And the QC department should increase the sample size to provide a clearer indication as to both control limits and whether or not the process is in control. And the smallest mean is 9.9 and the largest is 10.2 and the largest sample range is 0.6. I am just having problems with the Excel Solver.

The mean factor A sq 2 = 0.577 sample size 5
The upper range D 4 = 2.114 sample size 5
The lower range D 3 = 0 sample size 5
These are used in the formula to receive the UCL and LCL

https://brainmass.com/economics/applied-economics/statistical-quality-control-293719

#### Solution Summary

A Complete, Neat and Step-by-step Solution is provided in the attached Excel file.

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## Statistics Questions

3. What is an example of a research problem at your organization that would benefit from the use of either descriptive statistics or probability distribution? Please provide a short background and how you would apply the concept.

5. Describe a possible application of Control Chart in your personal life. Please be specific about what data you will collect and the potential use of the Chart.

6. What are your views on Deming's point #11? Please support your views with a real world example

4. Define Chance variation and Assignable variation.

****Hypothesis Identification Article Analysis Paper****

Locate an article that pertains to a hypothesis that was used to validate a research study. Use "major databases" and the key search words "research studies in" to obtain an article. You can select communication, finance, economics, marketing, technology, or writing for the research study. Prepare a 450-550-word analysis of your selected article. Start by identifying the hypothesis described in the article, and explain how the hypothesis statement was used in the study. Be sure to properly cite your article.

****Please see attached files for Questions 2, 7, and 8*****

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