# 1. Calculate X-bar-bar, R-bar, and associated control limits using the data in the table above

Objectives

This case study looks at the behavior of a circuit board process through the use of control charts. At least two control charts will need to be constructed, and from them, you will be asked to provide an assessment of what you see. A template to facilitate the construction of the control charts has been provided in Doc Sharing (Course Project—Part 2 Template.xlsx). You are not required to use this template; however, it will greatly facilitate the solution.

Problem Statement

Fujiyama Electronics Inc. has had difficulties with circuit boards purchased from an outside supplier. Unacceptable variability occurs between two drilled holes that are supposed to be 5 cm apart on the circuit boards. Thirty samples of four boards each were taken from shipments from the supplier. The data obtained can be found on a worksheet in Doc Sharing titled Fujiyama Electronics Sample Data or can be obtained by clicking here.

A tutorial is available in the Doc Sharing tab to help complete the Week 7 Part 2 assignment, titled Week_7_Course_Project_Part_2_Tutorial.

Guidelines

The student will submit the completed case study in a Word document to the Dropbox by the end of class Week 7. The paper is worth 80 points.

The students will complete and answer the following questions.

1. Calculate X-bar-bar, R-bar, and associated control limits using the data in the table above.

2. Create x̄ and R (average and range) control charts from the data in the table above.

3. Discuss notable out-of-control conditions displayed in the completed x̄ and R (average and range) control charts. Only consider points outside the control limits. Do not consider runs, set of points within certain zones, and so forth.

4. If the conditions you note could be defined as assignable conditions, and they are removed from the process, then what will happen to the X-bar and R control chart?

1. Remove the data related to the out-of-control points you observed from the original data, and recalculate new X-bar-bar, R-bar, and associated control limits.

2. Create new X-bar and R (average and range) control charts from your updated data.

5. Discuss how the two sets of control charts are different. What has changed?

The format of the case study should conform to the Publication Manual for the American Psychological Association (APA), 6th edition, for the title page and text. Citations and references are not required. A basic APA tutorial can be found in the Webliography, and a paper template can be found in Doc Sharing. The completed case study will be submitted to your Dropbox as an MS Word document. All graphics and charts will be a part of the Word document and submitted as a file. Documents authored in other applications, such as WordPerfect or MS Works, will not be accepted.

This project is to be accomplished individually, and it will reflect the work of each student. All DeVry University policies are in effect, including the plagiarism policy. Late papers will not be accepted without prior permission.

Submit your Fujiyama Case Study paper to the Dropbox located on the silver tab at the top of this page by the end of Week 7. For instructions on how to use the Dropbox, read these step-by-step instructions or watch this Dropbox Tutorial.

See the Syllabus section “Due Dates for Assignments & Exams” for due date information.

Fujiyama Electronics Case Study Grading Rubric—also available in the Doc Sharing section (Fujiyama Electronics Case Study Assessment):

First Control Chart (40%)

Points Possible

Points Earned

All calculations are correct.

10

X-bar and R-charts are presented and correct.

10

All conditions of importance are discussed.

12

Total

48

Second Control Chart (40%)

Points Possible

Points Earned

All calculations are correct.

10

X-bar and R-charts are presented and correct.

10

Differences between the two sets of control charts are thoroughly discussed.

12

Total

32

Mechanics (20%)

Points Possible

Points Earned

The paper, including the title page, follows APA guidelines for format (references and citations not required).

4

Sentences are complete, clear, and concise.

4

The paper is laid out with effective use of headings, font styles, and white space.

4

Rules of grammar, usage, and punctuation are followed.

4

Spelling is correct.

2

Total

16

Total (100%)

Points Possible

Points Earned

80

Objectives

This case study looks at the behavior of a circuit board process through the use of control charts. At

least two control charts will need to be constructed, and from them, you will be asked to provide an

assessment of what you see. A template to facilitate

the construction of the control charts has been

provided in Doc Sharing (Course Project

P

art 2 Template.xlsx

). You are not required to use this

template; however, it will greatly facilitate the solution.

Problem Statement

Fujiyama Electronics Inc. has had difficulties with circuit boards purchased from an outside supplier.

Unacceptable variabi

lity occurs between two drilled holes that are supposed to be 5 cm apart on the

circuit boards. Thirty samples of four boards each were taken from shipments from the supplier. The

data obtained can be found on a worksheet in Doc Sharing titled Fujiyama Ele

ctronics Sample Data

or can be obtained by clicking

here

.

A tutorial is available in the Doc Sharing

tab to help complete the Week 7 Part 2 assignment,

titled

Week_7_Course_Project_Part_2_Tutoria

l

.

Guidelines

The student will submit the completed case study in a Word document to the Dropbox by the end of

class Week 7. The paper is worth 80 points.

The students will complete and answer the following questions.

1.

Calculate X

bar

bar, R

bar, and associated control limits using the data in the table above.

2.

Create x

¯

and R (ave

rage and range) control charts from the data in the table above.

3.

Discuss notable out

of

control conditions displayed in the completed x

¯

and R (average and

range) control charts. Only consider points outside the control limits. Do not consider runs,

set of

points within certain zones, and so forth.

4.

If the conditions you note could be defined as assignable conditions, and they are removed

from the process, then what will happen to the X

bar and R control chart?

1.

Remove the data related to the out

of

control p

oints you observed from the original

data, and recalculate new X

bar

bar, R

bar, and associated control limits.

2.

Create new X

bar and R (average and range) control charts from your updated data.

5.

Discuss how the two sets of control charts are different. What

has changed?

The format of the case study should conform to the

Publication Manual

for the American

Psychological Association (APA), 6th edition, for the title page and text. Citations and references are

Objectives

This case study looks at the behavior of a circuit board process through the use of control charts. At

least two control charts will need to be constructed, and from them, you will be asked to provide an

assessment of what you see. A template to facilitate the construction of the control charts has been

provided in Doc Sharing (Course Project—Part 2 Template.xlsx). You are not required to use this

template; however, it will greatly facilitate the solution.

Problem Statement

Fujiyama Electronics Inc. has had difficulties with circuit boards purchased from an outside supplier.

Unacceptable variability occurs between two drilled holes that are supposed to be 5 cm apart on the

circuit boards. Thirty samples of four boards each were taken from shipments from the supplier. The

data obtained can be found on a worksheet in Doc Sharing titled Fujiyama Electronics Sample Data

or can be obtained by clicking here.

A tutorial is available in the Doc Sharing tab to help complete the Week 7 Part 2 assignment,

titled Week_7_Course_Project_Part_2_Tutorial.

Guidelines

The student will submit the completed case study in a Word document to the Dropbox by the end of

class Week 7. The paper is worth 80 points.

The students will complete and answer the following questions.

1. Calculate X-bar-bar, R-bar, and associated control limits using the data in the table above.

2. Create x¯ and R (average and range) control charts from the data in the table above.

3. Discuss notable out-of-control conditions displayed in the completed x¯ and R (average and

range) control charts. Only consider points outside the control limits. Do not consider runs,

set of points within certain zones, and so forth.

4. If the conditions you note could be defined as assignable conditions, and they are removed

from the process, then what will happen to the X-bar and R control chart?

1. Remove the data related to the out-of-control points you observed from the original

data, and recalculate new X-bar-bar, R-bar, and associated control limits.

2. Create new X-bar and R (average and range) control charts from your updated data.

5. Discuss how the two sets of control charts are different. What has changed?

The format of the case study should conform to the Publication Manual for the American

Psychological Association (APA), 6th edition, for the title page and text. Citations and references are