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Posted: June 24th, 2021

Case Study- Bayfield Mud Company

  • Dilip
  • Navjot
  • Amanpreet Singh

Introduction

According to the case study of the bag weight problem, therefore the control department gathered the weight bag as a sample from three different shifts (morning, afternoon, night) every day. As per given report the six samples collected per shift, therefore the size of the sample is six. To analysis the report of three different shift, we will apply x-bar chart and range chart.

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Moreover we will take mean value i.e is 50, explanation given below. In addition we will also calculate the range chart figure for every samples in different shifts, which will be find out by applying formula (Largest-Smallest).

Analysis

D3(Value taken from Sigma table)=0

D4 (Value taken from Sigma table)==2.004

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N(Sample Size)=6

Standard Deviation=1.2

Desired Control Limit 3Sigma =99.73%

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Formulation

For X Chart

UCL x (Upper Control Limit for x bar) = X-Dbl Bar+Zx

Lower Control Limit (Upper Control Limit = X-Dbl Bar-Zx

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x= is calculated by /Sqrt(n)

For R Chart

UCLR (Upper Control Limit for the Range) = D4*RBar

LCLR(Lower Control Limit for the Range)= D3*Rbar

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Morning Shift

For X Chart

For R Chart

Samples

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Our writers are degree-holding pros who tackle any topic with skill. We ensure quality with top tools and offer revisions—perfect papers, even under pressure.

Time

Shifts

Average

Smallest

Who Writes My Assignments?

Experts with degrees—many rocking Master’s or higher—who’ve crushed our rigorous tests in their fields and academic writing. They’re student-savvy pros, ready to nail your essay with precision, blending teamwork with you to match your vision perfectly. Whether it’s a tricky topic or a tight deadline, they’ve got the skills to make it shine.

Largest

Range

X Bar (Averages)

49.80

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Guaranteed—100%! We write every piece from scratch—no AI, no copying—just fresh, well-researched work with proper citations, crafted by real experts. You can grab a plagiarism report to see it’s 95%+ original, giving you total peace of mind it’s one-of-a-kind and ready to impress.

R-Bar (CL)

3.45

1

6

Can You Use Any Citation Format?

Yep—APA, Chicago, Harvard, MLA, Turabian, you name it! Our writers customize every detail to fit your assignment’s needs, ensuring it meets academic standards down to the last footnote or bibliography entry. They’re pros at making your paper look sharp and compliant, no matter the style guide.

Day 1 Morning

49.6

48.7

50.7

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2.0

UCLx

51.27

LCL r

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0.00

2

7

50.2

How Quick Can You Write?

Need it fast? We can whip up a top-quality paper in 24 hours—fully researched and polished, no corners cut. Just pick your deadline when you order, and we’ll hustle to make it happen, even for those nail-biting, last-minute turnarounds you didn’t see coming.

49.1

51.2

2.1

LCLx

48.33

Can You Handle Tough Topics?

Absolutely—bring it on! Our writers, many with advanced degrees like Master’s or PhDs, thrive on challenges and dive deep into any subject, from obscure history to cutting-edge science. They’ll craft a standout paper with thorough research and clear writing, tailored to wow your professor.

UCL r

6.91

3

8

50.6

How Do You Match Professor Expectations?

We follow your rubric to a T—structure, evidence, tone. Editors refine it, ensuring it’s polished and ready to impress your prof.

49.6

51.4

1.8

CL

How Do You Edit My Work?

Send us your draft and goals—our editors enhance clarity, fix errors, and keep your style. You’ll get a pro-level paper fast.

50

4

9

50.8

50.2

Can You Brainstorm Topics?

Yep! We’ll suggest ideas tailored to your field—engaging and manageable. Pick one, and we’ll build it into a killer paper.

51.8

1.6

5

10

49.9

49.2

52.3

Do You Offer Fast Edits?

Yes! Need a quick fix? Our editors can polish your paper in hours—perfect for tight deadlines and top grades.

3.1

6

11

50.3

48.6

51.7

Can You Start With an Outline?

Sure! We’ll sketch an outline for your approval first, ensuring the paper’s direction is spot-on before we write.

3.1

7

12

48.6

46.2

50.4

4.2

8

Can You Add Charts or Stats?

Definitely! Our writers can include data analysis or visuals—charts, graphs—making your paper sharp and evidence-rich.

1

49

46.4

50

3.6

9

6

Day 2 Morning

48.6

47.4

What About Multi-Part Projects?

We’ve got it—each section delivered on time, cohesive and high-quality. We’ll manage the whole journey for you.

52

4.6

10

7

50

Do You Adapt to International Rules?

Yes! UK, US, or Aussie standards—we’ll tailor your paper to fit your school’s norms perfectly.

49.2

52.2

3.0

11

8

What does a complex assignment mean?

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49.8

49

52.4

3.4

Who is my writer? How can I communicate with him/her?

Our writers come from all corners of the globe, and we’re picky about who we bring on board. They’ve passed tough tests in English and their subject areas, and we’ve checked their IDs to confirm they’ve got a master’s or PhD. Plus, we run training sessions on formatting and academic writing to keep their skills sharp. You’ll get to chat with your writer through a handy messenger on your personal order page. We’ll shoot you an email when new messages pop up, but it’s a good idea to swing by your page now and then so you don’t miss anything important from them.

12

9

50.3

49.4

51.7

2.3

13

10

50.2

49.6

51.8

2.2

14

11

50

49

52.3

3.3

15

12

50

48.8

52.4

3.6

16

1

50.1

49.4

53.6

4.2

17

6

Day 3 Morning

48.4

45

49

4.0

18

7

48.8

44.8

49.7

4.9

19

8

49.6

48

51.8

3.8

20

9

50

48.1

52.7

4.6

21

10

51

48.1

55.2

7.1

22

11

50.4

49.5

54.1

4.6

23

12

50

48.7

50.9

2.2

24

1

48.9

47.6

51.2

3.6

Afternoon Shift

For X Chart

For R Chart

Samples

Time

Shifts

Average

Smallest

Largest

Range

X Bar (Averages)

48.93

R-Bar (CL)

4.38

1

2

Day 1 Afternoon

49

46

50.6

4.6

UCLx

50.40

LCL r

0.00

2

3

49.8

48.2

50.8

2.6

LCLx

47.46

UCL r

8.78

3

4

50.3

49.2

52.7

3.5

CL

50

4

5

51.4

50

55.3

5.3

5

6

51.6

49.2

54.7

5.5

6

7

51.8

50

55.6

5.6

7

8

51

48.6

53.2

4.6

8

9

50.5

49.4

52.4

3

9

2

Day 2 Afternoon

49.70

48.6

51

2.4

10

3

48.4

47.2

51.7

4.5

11

4

47.20

45.3

50.9

5.6

12

5

46.8

44.1

49

4.9

13

6

46.8

41

51.2

10.2

14

7

50

46.2

51.7

5.5

15

8

47.4

44

48.7

4.7

16

9

47

44.2

48.9

4.7

17

2

Day 3 Afternoon

49.8

48.4

51

2.6

18

3

49.8

48.8

50.8

2

19

4

50

49.1

50.6

1.5

20

5

47.8

45.2

51.2

6

21

6

46.4

44

49.7

5.7

22

7

46.4

44.4

50

5.6

23

8

47.2

46.6

48.9

2.3

24

9

48.4

47.2

49.5

2.3

Night Shifts

X Bar Chart

R Chart

Samples

Time

Shifts

Average

Smallest

Largest

R-Bar

X Bar Average

48.65

R- Bar (CL)

3.36

1

10

Day1 Night

49.2

46.1

50.7

4.6

UCLx

51.50

UCLr

6.73

2

11

49

46.3

50.8

4.5

LCLx

45.80

LCLr

0

3

12

48.40

45.4

50.2

4.8

CL

50

4

1

47.6

44.3

49.7

5.4

5

2

47.4

44.1

49.6

5.5

6

3

48.20

45.2

49

3.8

7

4

48

45.5

49.1

3.6

8

5

48.40

47.1

49.6

2.5

9

10

Day 2 Night

47.2

46.6

50.2

3.6

10

11

48.6

47

50

3

11

12

49.8

48.2

50.4

2.2

12

1

49.6

48.4

51.7

3.3

13

2

50

49

52.2

3.2

14

3

50

49.2

50

0.8

15

4

47.2

46.3

50.5

4.2

16

5

47

44.1

49.7

5.6

17

10

Day 3 Night

49.2

48.1

50.7

2.6

18

11

48.40

47

50.8

3.8

19

12

47.2

46.4

49.2

2.8

20

1

47.4

46.8

49

2.2

21

2

48.8

47.2

51.4

4.2

22

3

49.6

49

50.6

1.6

23

4

51

50.5

51.5

1

24

5

50.5

50

51.9

1.9

Analysis Report   

   After calculating and analysing the three different shifts of three days. We can observe that second shift and third shift consistently out of control. Although, 21 Samples of range chart is only out of control which is 7.10 which is greater than UCLr which is 6.9. Despite, this is only shift which is in control.

  By observing the second shift it is clearly seen that x chart is out of control, whereas  R chart of second shift is in control only 13 Samples is out of control which is 10.20 whereas UCLr is 8.7842

  Now, for third shift, the X bar Chart the process is consistently out of control whereas the R chart is perfectly in control.

Recommendation.

In order to control the system, Company should be done some changes, mention below

  • In order to build up the productivity, training should be provide to the new employees especially in the night shift. Another solution company can shift experienced employee in night shift to maintain the balance.
  • Bayfield Mud Company should examine their machinery on regular basis as prescribed by managers. As we know a small issued can convert into big hindrance at the time of execution.
  • Company should hire some quality control specialist who can take proper responsibilities of audit and track every problems with all documents in efficient way.
  • Bayfield Company should do automated testing device to observe the bag weights.

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