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
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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.
 
 
 
 
 
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