Purchase Solution

Process Capability Index

Not what you're looking for?

Ask Custom Question

1. Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter of the bottle neck, a critical quality dimension that determines whether the bottle cap will fit properly. The dimensions (in.) from the last six samples are:

Sample 1 | 2 | 3 | 4
1 | 0.594 | 0.622 | 0.598 | 0.590
2 | 0.587 | 0.611 | 0.597 | 0.613
3 | 0.571 | 0.580 | 0.595 | 0.602
4 | 0.610 | 0.615 | 0.585 | 0.578
5 | 0.580 | 0.624 | 0.618 | 0.614
6 | 0.585 | 0.593 | 0.607 | 0.569

a. Assume that only these six samples are sufficient, and use the data to determine control limits for an R- and an x-bar chart.

b. Suppose that the specification for the bottle neck diameter is 0.600 in ± 0.050 and the population standard deviation is 0.013 in. What is the Process Capability Index? The Process Capability Ratio?

Purchase this Solution
Solution Summary

Answers are on the attached Excel spreadsheet, along with detailed explanations. Excel functions are used to find the grand average and ranges. Also in Excel, a chart is made along with calculating Process Capability Index Cp.

Solution Preview

Student,

Your answers are on the attached Excel spreadsheet, along with these explanations:

a. Since we are told to "use the data to determine control limits for an R- and an x-bar chart", we have to average the measurements of each of the six samples and find the range of each of the six. This is at the top of columns F and I, respectively. We then find the separate control limits based on three anti-biasing constants in cells A12 thru A14 and resulting in the limits at the top of columns G-H and J-K, respectively. I am using commonly ...

Purchase this Solution
Free BrainMass Quizzes
Transformational Leadership

This quiz covers the topic of transformational leadership. Specifically, this quiz covers the theories proposed by James MacGregor Burns and Bernard Bass. Students familiar with transformational leadership should easily be able to answer the questions detailed below.

Social Media: Pinterest

This quiz introduces basic concepts of Pinterest social media

Basic Social Media Concepts

The quiz will test your knowledge on basic social media concepts.

Learning Lean

This quiz will help you understand the basic concepts of Lean.

Lean your Process

This quiz will help you understand the basic concepts of Lean.

View More Free Quizzes
Related BrainMass Solutions

  • find out the capability index

    What is the proces capability index? Cp=(3.60-2.00)/(0.12*6)=2.22. The process capability index is 2.22. Thank you for asking Brainmass. The solution provides detailed explanation how to find out the capability index.

  • A Process Has Cp, and Cpk...

    Cpk is process capability index adjustment of Cp for the effect of non-centered distribution. Cpk tells about the process capability and whether the process will be able to meet the requirement of the designer.

  • Process capability

    Calculate the process capability index for this example. b. What does this figure tell you about the process? a. Process Capability = (USL-LSL)/6s = .02/(6*.003) = 1.11 b.

  • X bar and R chart, Cp

    The process is not in control. This is because the Process capability index is<1.0. This means that the production process does not have the capability of producing pins that meet specifications.

  • Defining Process Capability, Statistical Process Control, Six Sigma & the Learning Curve

    It is also expressed as the process capability index or process performance index.

  • X-bar Control Chart and Capability Index in Excel

    For a given data set, Excel is used to calculate an X-Bar Control Chart and Capability Index. In addition, an image of histogram is provided to support skewing of the data.

  • The Older Then Dirt potting soil company:Process capability

    Using our text's definition of the process capability index (Cpk), what is this company's process capability? Interpret your resulting calculation relative to whether the process is capable of meeting the industry group's standards? Explain.

  • Southwest Airlines: turnaround time

    Process capability Index Cpk = Min [(x-LSL)/3 (USL-x)/3 =Min [(20.5-15)/(3*1.5), (25-20.5)/(3*1.5)] =Min (1.2222, 1.0000)=1.0000 The process capability index Cpk shows whether the overall average is centrally located.

  • Six Sigma: Constructing Control Charts

    Calculate the following for your process: a) Defectives per Million Opportunities (DPMO) b) Yield c) Process capability ratio (Cp) d) Process capability index (Cpk) 3) Identify the root cause of the problem you are trying

View More Related Solutions