You may need to use this table to answer this question. The following are quality control data for a manufacturing process at Kensport Chemical Company. The data show the temperature in degrees centigrade at five points in time during a manufacturing cycle. Sample 95.72 1.0 1 95.24 0.9 3 95.18 0.8 4 95.46 0.4 95.46 0.5 6. 95.32 1.1 7 95.40 | 0.8 8 95.44 0.3 95.08 0.2 10 95.50 0.6 11 95.80 0.6 12 95.22 0.2 13 95.54 1.3 14 95.22 0.4 15 95.04 0.8 16 95.72 1.1 17 94.82 0.6 18 95.46 0.5 19 95.60 0.4 20 95.74 0.6

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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You may need to use this table to answer this question.
The following are quality control data for a manufacturing process at Kensport Chemical Company. The data show the temperature in degrees centigrade at five points in time during a manufacturing cycle.
Sample
R
95.72 1.0
2
95.24
0.9
3
95.18
0.8
4
95.46
0.4
5
95.46
0.5
6
95.32
1.1
95.40
0.8
8.
95.44 0.3
95.08 0.2
10
95.50
0.6
11
95.80
0.6
12
95.22
0.2
13
95.54
1.3
14
95.22
0.4
15
95.04
0.8
16
95.72
1.1
17
94.82
0.6
18
95.46 0.5
19
95.60
0.4
20
95.74
0.6
Transcribed Image Text:You may need to use this table to answer this question. The following are quality control data for a manufacturing process at Kensport Chemical Company. The data show the temperature in degrees centigrade at five points in time during a manufacturing cycle. Sample R 95.72 1.0 2 95.24 0.9 3 95.18 0.8 4 95.46 0.4 5 95.46 0.5 6 95.32 1.1 95.40 0.8 8. 95.44 0.3 95.08 0.2 10 95.50 0.6 11 95.80 0.6 12 95.22 0.2 13 95.54 1.3 14 95.22 0.4 15 95.04 0.8 16 95.72 1.1 17 94.82 0.6 18 95.46 0.5 19 95.60 0.4 20 95.74 0.6
The company is interested in using control charts to monitor the temperature of its manufacturing process. Compute the upper and lower control limits for the R chart. (Round your answers to three decimal places.)
UCL = 1.396
LCL = 0.000
Construct the R chart.
2.00-
2.00-
2.00-
2.00-
1.75
1.50-
1.75
1.75
1.75
UCL
1.25
UCL
1.50-
1.50
UCL
1.50
1.00
1.25
1.00
0.75
1.25
1.25.
UCL
0.75
1.00
1.00
-
0.50
0.75
0.75
0.50-
0.25+
0.50
0.50
0.25-
0.00
0.25
0.00-
0.25
LCL
LCL
0.00
0.00
LCL
LCL
2 4 6 8 10 12 14 16 18 20
2 4 6 8 10 12 14 16 18 20
2 4 6 8 10 12 14 16 18 20
8 10 12 14 16 18 20
2 4 6 8
Sample Number
Sample Number
Sample Number
Sample Number
Compute the upper and lower control limits for the x chart. (Round your answers to three decimal places.)
UCL = 9.781
LCL = 95.019
Construct the x chart.
96.25
96.25
96.25-
* 96.00
96.25
UCL
UCL
96.00 -
96.00
96.00
95.75
UCL
UCI
95.75
95.75
95.75
95.50
95.50
95.50
95.50
95.25
95.25
95.25-
95.25-
95.00
LCL
95.00
95.00
95.00
LCL
94.75-
LCL
94.75
94.75
LCL
94.75-
2 4 6 8 10 12 14 16 18 20
2 4 6 8 10 12 14 16 18 20
2 4 6 8 10 12 14 16 18 20
2 4 6 8 10 12 14 16 18 20
Sample Number
Sample Number
Sample Number
Sample Number
What conclusions can be made about the quality of the process?
The R chart indicates that the process variability is in control
No samples fal
vV outside the R chart control limits. The x chart indicates that the process mean is out of control v
One sample falls
V x outside the x chart control limits.
Sample Mean X
Sample Range
Sample Mean X
Sample Range
Sample Mean X
Sample Range
Sample Mean 3
Sample Range
Transcribed Image Text:The company is interested in using control charts to monitor the temperature of its manufacturing process. Compute the upper and lower control limits for the R chart. (Round your answers to three decimal places.) UCL = 1.396 LCL = 0.000 Construct the R chart. 2.00- 2.00- 2.00- 2.00- 1.75 1.50- 1.75 1.75 1.75 UCL 1.25 UCL 1.50- 1.50 UCL 1.50 1.00 1.25 1.00 0.75 1.25 1.25. UCL 0.75 1.00 1.00 - 0.50 0.75 0.75 0.50- 0.25+ 0.50 0.50 0.25- 0.00 0.25 0.00- 0.25 LCL LCL 0.00 0.00 LCL LCL 2 4 6 8 10 12 14 16 18 20 2 4 6 8 10 12 14 16 18 20 2 4 6 8 10 12 14 16 18 20 8 10 12 14 16 18 20 2 4 6 8 Sample Number Sample Number Sample Number Sample Number Compute the upper and lower control limits for the x chart. (Round your answers to three decimal places.) UCL = 9.781 LCL = 95.019 Construct the x chart. 96.25 96.25 96.25- * 96.00 96.25 UCL UCL 96.00 - 96.00 96.00 95.75 UCL UCI 95.75 95.75 95.75 95.50 95.50 95.50 95.50 95.25 95.25 95.25- 95.25- 95.00 LCL 95.00 95.00 95.00 LCL 94.75- LCL 94.75 94.75 LCL 94.75- 2 4 6 8 10 12 14 16 18 20 2 4 6 8 10 12 14 16 18 20 2 4 6 8 10 12 14 16 18 20 2 4 6 8 10 12 14 16 18 20 Sample Number Sample Number Sample Number Sample Number What conclusions can be made about the quality of the process? The R chart indicates that the process variability is in control No samples fal vV outside the R chart control limits. The x chart indicates that the process mean is out of control v One sample falls V x outside the x chart control limits. Sample Mean X Sample Range Sample Mean X Sample Range Sample Mean X Sample Range Sample Mean 3 Sample Range
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