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 the 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 (in fluid ounces per bottle) on the production process. Click the icon to view the sample data. Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. Design an R- and an x-chart for this process. The UCLR equals ounces and the LCL, equals ounces. (Enter your responses rounded to three decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 11MCQ
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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 the 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 (in fluid ounces per bottle) on the production process. Design R- and an -X chart for this process. **enter your responses rounded to three decimal places**
More info
- X
Data table
- X
Factors for calculating three-sigma limits for the x-chart and R-chart
Bottle
Size of Sample Factor for UCL SAd LCL
(n)
Factor for LCL for
R-Chart (D3)
Sample
Factor for UCL for
R-Chart (D.)
for x-chart (A,)
3
4
11.87
11.93
11.87
11.90
1.880
11.88
11.93
12.06
12.07
12.05
3.267
3
1.023
3
11.89
12.03
2.575
11.90
4.
0.729
0.577
0.483
0.419
4
11.97
11.94
11.93
11.94
2.282
5
11.98
11.97
12.03
11.94
2.115
6.
6.
11.93
12.02
12.10
11.98
2.004
7
0.076
7
11.88
12.06
11.88
1.924
11.87
8
0.373
8.
11.88
11.89
0.136
0.184
1.864
11.95
12.08
9
0.337
9
11.95
11.94
11.97
1.816
11.89
10
0.308
0,223
10
12.07
11.98
12.05
12.11
1.777
11
12.10
12.11
11.92
12.10
12
12.03
12.05
12.04
11.90
13
11.90
11.98
11.88
12.06
14
11.94
11.95
11.99
12.05
Print
Done
15
11.87
11.97
11.92
12.01
Print
Done
Transcribed Image Text:More info - X Data table - X Factors for calculating three-sigma limits for the x-chart and R-chart Bottle Size of Sample Factor for UCL SAd LCL (n) Factor for LCL for R-Chart (D3) Sample Factor for UCL for R-Chart (D.) for x-chart (A,) 3 4 11.87 11.93 11.87 11.90 1.880 11.88 11.93 12.06 12.07 12.05 3.267 3 1.023 3 11.89 12.03 2.575 11.90 4. 0.729 0.577 0.483 0.419 4 11.97 11.94 11.93 11.94 2.282 5 11.98 11.97 12.03 11.94 2.115 6. 6. 11.93 12.02 12.10 11.98 2.004 7 0.076 7 11.88 12.06 11.88 1.924 11.87 8 0.373 8. 11.88 11.89 0.136 0.184 1.864 11.95 12.08 9 0.337 9 11.95 11.94 11.97 1.816 11.89 10 0.308 0,223 10 12.07 11.98 12.05 12.11 1.777 11 12.10 12.11 11.92 12.10 12 12.03 12.05 12.04 11.90 13 11.90 11.98 11.88 12.06 14 11.94 11.95 11.99 12.05 Print Done 15 11.87 11.97 11.92 12.01 Print Done
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 the 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 (in fluid ounces per bottle) on the production process.
col
Click the icon to view the sample data.
Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart.
Pa
Design an R- and an x-chart for this process.
The UCLR equals
ounces and the LCLR equals
ounces. (Enter your responses rounded to three decimal places.)
Transcribed Image Text: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 the 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 (in fluid ounces per bottle) on the production process. col Click the icon to view the sample data. Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. Pa Design an R- and an x-chart for this process. The UCLR equals ounces and the LCLR equals ounces. (Enter your responses rounded to three decimal places.)
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