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...
The Canine Gourmet Company produces delicious dog treats for canines with discriminating tastes. Management wants the...
The Canine Gourmet Company produces delicious dog treats for canines with discriminating tastes. Management wants the box-filling line to be set so that the process average weight per packet is 42grams. To make sure that the process is in control, an inspector at the end of the filling line periodically selects a random box of 8packets and weighs each packet. When the process is in control, the range in the weight of each sample has averaged 6 grams. a. Design...
The Kirkland Company produces plastic bottles to customer order. The quality inspector randomly selects four bottles...
The Kirkland Company produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine every time (considered as one sample) 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 (each sample contains 4 bottles) are Sample Bottle #1 Bottle #2 Bottle #3 Bottle #4 1 0.624 0.627 0.584 0.600 2 0.597 0.601 0.607...
Organic Grains LLC uses statistical process control to ensure that its health-conscious, low-fat, multigrain sandwich loaves...
Organic Grains LLC uses statistical process control to ensure that its health-conscious, low-fat, multigrain sandwich loaves have the proper weight. Based on a previously stable and in-control process, the control limits of the x overbarx - and R-charts are: UCL Subscript x overbarUCLx = 5.48 LCL Subscript x overbarLCLx = 5.12 UCL Subscript Upper RUCLR = 0.923 LCL Subscript Upper RLCLR = 0 Over the past few days, they have taken five random samples of four loaves each and have...
Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the...
Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 1010 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean Bold x overbarx (mm) Range R (mm) 1 156.9156.9 4.24.2 2 153.2153.2 4.64.6 3 153.6153.6 4.14.1 4 155.5155.5 5.05.0 5 156.6156.6 4.54.5 a) What is the value of x double overbarx?...
Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the...
Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 1010 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean Bold x overbarx (mm) Range R (mm) 1 156.9156.9 4.24.2 2 153.2153.2 4.64.6 3 153.6153.6 4.14.1 4 155.5155.5 5.05.0 5 156.6156.6 4.54.5 a) What is the value of x double overbarx?...
Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma)LOADING... for this problem....
Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma)LOADING... for this problem. Twelve samples, each containing five parts, were taken from a process that produces steel rods at Emmanual Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were: Sample Sample Mean (in.) Range (in.) Sample Sample Mean (in.) Range (in.) 1 8.502 0.033 7 8.503 0.041 2 8.502 0.041...
A rum producer monitors the position of its label on the bottle by sampling four bottles...
A rum producer monitors the position of its label on the bottle by sampling four bottles from each batch. One quantity measured is the distance from the bottom of the bottle neck to the top of the label. The process mean should be μ = 1.6 inches. Past experience indicates that the distance varies with σ = 0.15 inch. (a) The mean distance x for each batch sample is plotted on an x control chart. Calculate the center line and...
West Battery Corp. has recently been receiving complaints from retailers that its 9-volt batteries are not...
West Battery Corp. has recently been receiving complaints from retailers that its 9-volt batteries are not lasting as long as other name brands. James West, head of the TQM program at West's Austin plant, believes there is no problem because his batteries have had an average life of 5050 hours, about 10% longer than competitors' models. To raise the lifetime above this level would require a new level of technology not available to West. Nevertheless, he is concerned enough...
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...
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...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago