1. Supply chain problems that developed during COVID times have persisted and it has become necessary to make material substitutions to maintain production capacity for certain part types. The substitutions may require replacing one material type with another, replacing one supplier with another, and other situations. Facing a shortage of PEEK o-rings for tubing fittings used to handle high pressure gases and liquids, a fitting manufacturer identified a candidate alternate o-ring supplier and obtained samples for testing. In a preliminary test twenty units of each of the control and test o-rings were evaluated for leak rate (in standard cubic feet per minute (SCFM)) at a fixed high pressure. The leak rate values are reported in worksheet 3.1 of the Excel file. a. Create an appropriate plot of the experimental data and interpret the plot. b. Perform an equivalence test for the means of the two types of o-rings. The limits of practical equivalence for the difference between the two means are ±10%. Use the traditional (1 - 2a) 100% confidence limits with α = 0.05 and interpret the results. c. What are the assumptions of the analysis method and what evidence is there that they are satisfied? Supplier LeakRate Control 0.103 Control 0.125 Control 0.117 Control 0.118 Control 0.122 Control 0.129 Control 0.127 Control 0.134 Control 0.113 Control 0.106 Control 0.127 Control 0.123 Control 0.117 Control 0.117 Control 0.117 Control 0.127 Control 0.126 Control 0.118 Control 0.126 Control 0.124 Test 0.145 Test 0.134 Test 0.124 Test 0.13 Test 0.128 Test 0.134 Test 0.134 Test 0.157 Test 0.125 Test 0.114 Test 0.139 Test 0.135 Test 0.113 Test 0.123 Test 0.122 Test 0.123 Test 0.133 Test 0.122 Test 0.131 Test 0.132

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1. Supply chain problems that developed during COVID times have persisted and it has become necessary
to make material substitutions to maintain production capacity for certain part types. The substitutions
may require replacing one material type with another, replacing one supplier with another, and other
situations.
Facing a shortage of PEEK o-rings for tubing fittings used to handle high pressure gases and liquids, a
fitting manufacturer identified a candidate alternate o-ring supplier and obtained samples for testing. In
a preliminary test twenty units of each of the control and test o-rings were evaluated for leak rate (in
standard cubic feet per minute (SCFM)) at a fixed high pressure. The leak rate values are reported in
worksheet 3.1 of the Excel file.
a. Create an appropriate plot of the experimental data and interpret the plot.
b. Perform an equivalence test for the means of the two types of o-rings. The limits of practical
equivalence for the difference between the two means are ±10%. Use the traditional (1 - 2a) 100%
confidence limits with α = 0.05 and interpret the results.
c. What are the assumptions of the analysis method and what evidence is there that they are satisfied?
Transcribed Image Text:1. Supply chain problems that developed during COVID times have persisted and it has become necessary to make material substitutions to maintain production capacity for certain part types. The substitutions may require replacing one material type with another, replacing one supplier with another, and other situations. Facing a shortage of PEEK o-rings for tubing fittings used to handle high pressure gases and liquids, a fitting manufacturer identified a candidate alternate o-ring supplier and obtained samples for testing. In a preliminary test twenty units of each of the control and test o-rings were evaluated for leak rate (in standard cubic feet per minute (SCFM)) at a fixed high pressure. The leak rate values are reported in worksheet 3.1 of the Excel file. a. Create an appropriate plot of the experimental data and interpret the plot. b. Perform an equivalence test for the means of the two types of o-rings. The limits of practical equivalence for the difference between the two means are ±10%. Use the traditional (1 - 2a) 100% confidence limits with α = 0.05 and interpret the results. c. What are the assumptions of the analysis method and what evidence is there that they are satisfied?
Supplier LeakRate
Control
0.103
Control
0.125
Control 0.117
Control
0.118
Control 0.122
Control
0.129
Control 0.127
Control
0.134
Control
0.113
Control
0.106
Control
0.127
Control
0.123
Control
0.117
Control 0.117
Control 0.117
Control 0.127
Control
0.126
Control
0.118
Control
0.126
Control 0.124
Test
0.145
Test
0.134
Test
0.124
Test
0.13
Test
0.128
Test
0.134
Test
0.134
Test
0.157
Test
0.125
Test
0.114
Test
0.139
Test
0.135
Test
0.113
Test
0.123
Test
0.122
Test
0.123
Test
0.133
Test
0.122
Test
0.131
Test
0.132
Transcribed Image Text:Supplier LeakRate Control 0.103 Control 0.125 Control 0.117 Control 0.118 Control 0.122 Control 0.129 Control 0.127 Control 0.134 Control 0.113 Control 0.106 Control 0.127 Control 0.123 Control 0.117 Control 0.117 Control 0.117 Control 0.127 Control 0.126 Control 0.118 Control 0.126 Control 0.124 Test 0.145 Test 0.134 Test 0.124 Test 0.13 Test 0.128 Test 0.134 Test 0.134 Test 0.157 Test 0.125 Test 0.114 Test 0.139 Test 0.135 Test 0.113 Test 0.123 Test 0.122 Test 0.123 Test 0.133 Test 0.122 Test 0.131 Test 0.132
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