Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from...
|
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 |
0.5910.591 |
0.6170.617 |
0.6020.602 |
0.5900.590 |
|
2 |
0.5830.583 |
0.5860.586 |
0.5800.580 |
0.5900.590 |
|
3 |
0.5760.576 |
0.5750.575 |
0.5860.586 |
0.6190.619 |
|
4 |
0.6220.622 |
0.6190.619 |
0.6180.618 |
0.5720.572 |
|
5 |
0.6050.605 |
0.5840.584 |
0.6200.620 |
0.6060.606 |
|
6 |
0.5730.573 |
0.6100.610 |
0.6190.619 |
0.6200.620 |
Factors for calculating? three-sigma limits for the
x overbarx?-chart
and? R-chart
|
Size of Sample?(n) |
Factor for UCL and LCL for
x overbarx?-chart ?(Upper A 2A2?) |
Factor for LCL for?R-Chart
?(Upper D 3D3?) |
Factor for UCL for?R-Chart
?(Upper D 4D4?) |
|
2 |
1.8801.880 |
00 |
3.2673.267 |
|
3 |
1.0231.023 |
00 |
2.5752.575 |
|
4 |
0.7290.729 |
00 |
2.2822.282 |
|
5 |
0.5770.577 |
00 |
2.1152.115 |
|
6 |
0.4830.483 |
00 |
2.0042.004 |
|
7 |
0.4190.419 |
0.0760.076 |
1.9241.924 |
|
8 |
0.3730.373 |
0.1360.136 |
1.8641.864 |
|
9 |
0.3370.337 |
0.1840.184 |
1.8161.816 |
|
10 |
0.3080.308 |
0.2230.223 |
1.7771.777 |
Assume that only these six samples are? sufficient, and use the data to determine control limits for an? R- and an
x overbarx?-chart.
Compute the range R and the sample mean
x overbarx
for each sample.
?(Enter
your responses rounded to three decimal
places?.)
|
Bottle |
||||||
|
Sample |
1 |
2 |
3 |
4 |
R |
x overbarx |
|
1 |
0.5910.591 |
0.6170.617 |
0.6020.602 |
0.5900.590 |
0.0270.027 |
0.6000.600 |
|
2 |
0.5830.583 |
0.5860.586 |
0.5800.580 |
0.5900.590 |
0.0100.010 |
0.5850.585 |
|
3 |
0.5760.576 |
0.5750.575 |
0.5860.586 |
0.6190.619 |
0.0440.044 |
0.5890.589 |
|
4 |
0.6220.622 |
0.6190.619 |
0.6180.618 |
0.5720.572 |
0.0500.050 |
0.6080.608 |
|
5 |
0.6050.605 |
0.5840.584 |
0.6200.620 |
0.6060.606 |
0.0360.036 |
0.6040.604 |
|
6 |
0.5730.573 |
0.6100.610 |
0.6190.619 |
0.6200.620 |
0.0470.047 |
0.6060.606 |
The
UCL Subscript Upper RUCLR
equals
nothing
inches and the
LCL Subscript Upper RLCLR
equals
nothing
inches.
?(Enter
your responses rounded to three decimal
places.
If your answer for
LCL Subscript Upper RLCLR
is? negative, enter this value as
0.?)
Homework Answers
Add Answer to:
Aspen Plastics produces plastic bottles to customer order. The
quality inspector randomly selects four bottles from...
4 Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles...
4 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 0.592 0.588 0.590 0.617 2 0.598 0.587 0.580 0.585 3 0.613 0.594 0.615 0.589 0.608 0.610 0.623 0.623 5 0.572 0.623 0.572 0.585 0.582...
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Consider Chapter? 3, Problem 4 that was a homework problem dealing with the quality of Aspen...
Consider Chapter? 3, Problem 4 that was a homework problem
dealing with the quality of Aspen Plastics bottle neck diameters.
For randomly entered? data, results were obtained as shown?
below:
For the data? shown, the calculation of the Lower Control Limit
for the? X-bar chart is equal to which of the? following?
A. none of these
B. =D9-D10*D16
C. =D9+D10*D16
D. = 0.729
PLEASE INDICATE CORRECT ANSWER ONLY!
Solver -R and X-Bar Charts 5 Enter data in yellow shaded areas...
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4 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 0.592 0.588 0.590 0.617 2 0.598 0.587 0.580 0.585 3 0.613 0.594 0.615 0.589 0.608 0.610 0.623 0.623 5 0.572 0.623 0.572 0.585 0.582...
Consider Chapter? 3, Problem 4 that was a homework problem
dealing with the quality of Aspen Plastics bottle neck diameters.
For randomly entered? data, results were obtained as shown?
below:
For the data? shown, the calculation of the Lower Control Limit
for the? X-bar chart is equal to which of the? following?
A. none of these
B. =D9-D10*D16
C. =D9+D10*D16
D. = 0.729
PLEASE INDICATE CORRECT ANSWER ONLY!
Solver -R and X-Bar Charts 5 Enter data in yellow shaded areas...
. The production manager at Sunny Soda, Inc., is interested in tracking the quality of the company's 12-ounce bottle filling line. The bottles must be filled within the tolerances set for this product because the dietary information on th label shows 12 ounces as the serving size. The design standard for the product calls for a fill level of 12 0.10 ounces. The manager collected the accompanying sample data n fluid ounces per bottle) on the production process. 1 Click...
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