Question content area Part 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 Bottle Sample 1 2 3 4 1 0.576 0.593 0.618 0.580 2 0.580 0.583 0.602 0.586 3 0.571 0.599 0.612 0.578 4 0.570 0.601 0.603 0.594 5 0.596 0.618 0.589 0.571 6 0.610 0.609 0.578 0.605 LOADING... Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. Part 2 Suppose that the specification for the bottle neck diameter is 0.600±0.050 in. and the population standard deviation is 0.014 in. a. What is the process capability index? The Cpk is enter your response here. (Enter your response rounded to two decimal places.) Part 3 b. The process capability ratio? The Cp is enter your response here. (Enter your response rounded to two decimal places.) Part 4 c. If the firm is seeking four-sigma quality, is the process capable of producing the bottle? A. No, because Cpk is greater than the critical value of 1.33. B. Yes, because Cpk is greater than the critical value of 1.33. C. No, because Cpk is less than the critical value of 1.33. D. Yes, because Cpk is less than the critical value of 1.33.
Question content area Part 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 Bottle Sample 1 2 3 4 1 0.576 0.593 0.618 0.580 2 0.580 0.583 0.602 0.586 3 0.571 0.599 0.612 0.578 4 0.570 0.601 0.603 0.594 5 0.596 0.618 0.589 0.571 6 0.610 0.609 0.578 0.605 LOADING... Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. Part 2 Suppose that the specification for the bottle neck diameter is 0.600±0.050 in. and the population standard deviation is 0.014 in. a. What is the process capability index? The Cpk is enter your response here. (Enter your response rounded to two decimal places.) Part 3 b. The process capability ratio? The Cp is enter your response here. (Enter your response rounded to two decimal places.) Part 4 c. If the firm is seeking four-sigma quality, is the process capable of producing the bottle? A. No, because Cpk is greater than the critical value of 1.33. B. Yes, because Cpk is greater than the critical value of 1.33. C. No, because Cpk is less than the critical value of 1.33. D. Yes, because Cpk is less than the critical value of 1.33.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Question content area
Part 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
|
|
|
Bottle
|
|
|
|
Sample
|
1
|
2
|
3
|
4
|
|
1
|
0.576
|
0.593
|
0.618
|
0.580
|
|
2
|
0.580
|
0.583
|
0.602
|
0.586
|
|
3
|
0.571
|
0.599
|
0.612
|
0.578
|
|
4
|
0.570
|
0.601
|
0.603
|
0.594
|
|
5
|
0.596
|
0.618
|
0.589
|
0.571
|
|
6
|
0.610
|
0.609
|
0.578
|
0.605
|
LOADING...
x-chart
and R-chart.Part 2
Suppose that the specification for the bottle neck diameter is
0.600±0.050
in. and the population standard deviation is
0.014
in.a. What is the process capability index?
The
Cpk
is
enter your response here.
(Enter
your response rounded to two decimal
places.)
Part 3
b. The process capability ratio?
The
Cp
is
enter your response here.
(Enter
your response rounded to two decimal
places.)
Part 4
c. If the firm is seeking four-sigma quality, is the process capable of producing the bottle?
No, because
Cpk
is greater than the critical value of 1.33.Yes, because Cpk is greater
than the critical value of 1.33.No, because Cpk is less
than the critical value of 1.33.Yes, because
Cpk
is less than the critical value of 1.33.Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman