A researcher is interested in the hardness of steel bars treated with four coatings, and 4 A researcher is interested in the hardness of steel bars treated with four coatings (1, 2, 3, and 4) at four furnace temperatures 350°F, 375 °E, 400 °F, and 425 °F, The furnace is set to a temperature and four steel bars (one with each coating type) are put in the furnace and heated. The following data are shown in the actual run order. Temperature Coating Corrosion Resistance Temperature Coating Corrosion Resistance 350 2 192 400 4 232 350 3 177 400 3 215 350 1 148 400 2 222 350 4 178 400 1 251 375 1 145 375 4 302 375 3 184 375 1 182 375 4 182 375 3 186 375 2 191 375 2 208 400 3 142 425 3 482 400 1 148 425 2 451 400 2 124 425 4 398 400 4 189 425 1 458 425 1 530 350 1 163 425 4 482 350 4 196 425 3 516 350 2 219 425 2 445 350 3 169 a) Analyze the data using the appropriate model. b) Draw conclusions based on your analysis; i.e. do temperature and/or coating type have a significant effect on hardness? c) Which temperature and coating would you choose to maximize hardness?
A researcher is interested in the hardness of steel bars treated with four coatings, and 4 A researcher is interested in the hardness of steel bars treated with four coatings (1, 2, 3, and 4) at four furnace temperatures 350°F, 375 °E, 400 °F, and 425 °F, The furnace is set to a temperature and four steel bars (one with each coating type) are put in the furnace and heated. The following data are shown in the actual run order. Temperature Coating Corrosion Resistance Temperature Coating Corrosion Resistance 350 2 192 400 4 232 350 3 177 400 3 215 350 1 148 400 2 222 350 4 178 400 1 251 375 1 145 375 4 302 375 3 184 375 1 182 375 4 182 375 3 186 375 2 191 375 2 208 400 3 142 425 3 482 400 1 148 425 2 451 400 2 124 425 4 398 400 4 189 425 1 458 425 1 530 350 1 163 425 4 482 350 4 196 425 3 516 350 2 219 425 2 445 350 3 169 a) Analyze the data using the appropriate model. b) Draw conclusions based on your analysis; i.e. do temperature and/or coating type have a significant effect on hardness? c) Which temperature and coating would you choose to maximize hardness?
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Transcribed Image Text:A researcher is interested in the hardness of steel bars treated with four coatings, and 4
A researcher is interested in the hardness of steel bars treated with four coatings (1, 2, 3, and 4) at
four furnace temperatures 350°F, 375 °E, 400 °F, and 425 °F, The furnace is set to a temperature and
four steel bars (one with each coating type) are put in the furnace and heated. The following data
are shown in the actual run order.
Temperature Coating
Corrosion
Resistance
Temperature Coating
Corrosion
Resistance
350
2
192
400
4
232
350
3
177
400
3
215
350
1
148
400
2
222
350
4
178
400
1
251
375
1
145
375
4
302
375
3
184
375
1
182
375
4
182
375
3
186
375
2
191
375
2
208
400
3
142
425
3
482
400
1
148
425
2
451
400
2
124
425
4
398
400
4
189
425
1
458
425
1
530
350
1
163
425
4
482
350
4
196
425
3
516
350
2
219
425
2
445
350
3
169
a) Analyze the data using the appropriate model.
b) Draw conclusions based on your analysis; i.e. do temperature and/or coating type have a
significant effect on hardness?
c) Which temperature and coating would you choose to maximize hardness?
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