A manufacturer of dustless chalk instituted a quality control program to monitor chalk density. The sample standard deviations of densities for 24 different subgroups, each consisting of n = 8 chalk specimens, were as follows: 0.205 0.317 0.097 0.185 0.233 0.210 0.323 0.290 0.148 0.212 0.052 0.148 0.271 0.354 0.159 0.216 0.390 0.189 0.149 0.226 0.273 0.118 0.089 0.058 Calculate limits for an S chart. (Round your answers to four decimal places.) s= LCL = UCL= Construct the chart. 0.4 0.3 0.2 0.1 0-0.1 0.4 0.3 0.2 0.1 O-0.1 5 . 5 5 ● ● ● ● 10 15 . UCL LCL 20 25 position UCL LCL 10 15 20 25 Subgroup Subgroup 0.4 0.3 0.2 0.1 S O 0.4 0.3 0.2 0.1 0-0.1 ● ● 9 5 5 • . 10 ● • . UCL LCL 15 20 25 UCL LCL 10 15 20 25 Subgroup Subgroup Check for out-of-control points. O All points are between these limits, so the process appears to be out of control with respect to variability. O The value of s on the 17th sample lies above the UCL, so the process appears to be out of control. O Most points are between these limits, so the process appears to be out of control with respect to variability. O Most points are between these limits, so the process appears to be in control with respect to variability. O All points are between these limits, so the process appears to be in control with respect to variability.
A manufacturer of dustless chalk instituted a quality control program to monitor chalk density. The sample standard deviations of densities for 24 different subgroups, each consisting of n = 8 chalk specimens, were as follows: 0.205 0.317 0.097 0.185 0.233 0.210 0.323 0.290 0.148 0.212 0.052 0.148 0.271 0.354 0.159 0.216 0.390 0.189 0.149 0.226 0.273 0.118 0.089 0.058 Calculate limits for an S chart. (Round your answers to four decimal places.) s= LCL = UCL= Construct the chart. 0.4 0.3 0.2 0.1 0-0.1 0.4 0.3 0.2 0.1 O-0.1 5 . 5 5 ● ● ● ● 10 15 . UCL LCL 20 25 position UCL LCL 10 15 20 25 Subgroup Subgroup 0.4 0.3 0.2 0.1 S O 0.4 0.3 0.2 0.1 0-0.1 ● ● 9 5 5 • . 10 ● • . UCL LCL 15 20 25 UCL LCL 10 15 20 25 Subgroup Subgroup Check for out-of-control points. O All points are between these limits, so the process appears to be out of control with respect to variability. O The value of s on the 17th sample lies above the UCL, so the process appears to be out of control. O Most points are between these limits, so the process appears to be out of control with respect to variability. O Most points are between these limits, so the process appears to be in control with respect to variability. O All points are between these limits, so the process appears to be in control with respect to variability.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A manufacturer of dustless chalk instituted a quality control program to monitor chalk density. The sample standard deviations of densities for 24 different subgroups, each consisting of n = 8
chalk specimens, were as follows:
0.205 0.317 0.097 0.185 0.233 0.210 0.323 0.290
0.148 0.212 0.052 0.148 0.271
0.354 0.159 0.216
0.390 0.189 0.149 0.226 0.273 0.118 0.089 0.058
Calculate limits for an S chart. (Round your answers to four decimal places.)
S=
LCL =
UCL =
Construct the chart.
S
0.4
0.3
0.2
0.1
0-0.1
O-0.1
S
0.4
0.3
0.2
0.1
•
5
●
●
10
●
.
●
5 10 15 20 25
UCL
15 20
LCL
UCL
LCL
25
Subgroup
Subgroup
S
0.4
0.3
0.2
O
0.1 ●
●
0.4
0.3
0.2
0.1
O-0.1
S
●
•.
5
●
5
• •
10
10
•
•
15
●
20
15 20
UCL
LCL
25
UCL
LCL
25
Subgroup
Subgroup
Check for out-of-control points.
O All points are between these limits, so the process appears to be out of control with respect to variability.
O The value of s on the 17th sample lies above the UCL, so the process appears to be out of control.
O Most points are between these limits, so the process appears to be out of control with respect to variability.
O Most points are between these limits, so the process appears to be in control with respect to variability.
O All points are between these limits, so the process appears to be in control with respect to variability.
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