A sailboat manufacturer wishes to identify a single epoxy that has high strength at all temperatures. He designs a factorial experiment to evaluate the strength of epoxies from three different manufacturers at low, intermediate, and high temperatures. He performs the experiment in a completely randomized manner by randomly selecting an epoxy and temperature for each run until all experimental runs are completed. The strength data are shown below. Analyze the data by two-way ANOVA and construct an interaction plot. Which manufacturer should he use and what considerations should be made? Manufacturer B C 309, 295, 315 20 A 216, 239, 234 Temperature 25 344, 335, 348 278, 299, 271 311, 319, 327 321, 312, 325 30 372, 366, 385 360, 366, 361 | | 371, 361, 349 A B ° 0 E F Strength Manufacturer Temperature 216 A 239 A 234 A 222 105 15 G H J く SO RO Block Mfg Temp Strength 7 1 1 C 20 309 2 1 A 20 216 3 1 B 25 311 344 A 25 4 4 1 B 20 278 335 A 25 2 5 1 A 25 344 348 A 25 8 6 1 C 25 321 372 A 30 6 7 1 B 30 360 366 A 30 3 8 1 A 30 372 385 A 30 9 9 1 C 30 371 278 B 20 18 10 2 C 30 361 299 B 20 12 11 2 A 30 366 271 B 20 16 12 2 C 20 295 311 B 25 13 13 2 B 20 299 319 B 25 15 14 2 B 30 366 327 B 25 11 15 2 A 25 335 360 B 30 10 16 2 A 20 239 366 B 30 17 17 2 C 25 312 361 B 30 14 18 2 B 25 319 309 C 20 24 19 3 B 30 361 295 C 20 27 20 3 C 30 349 315 C 20 25 321 C 25 22 312 C 25 26 325 C 25 20 371 C 30 361 C 349 C 333 21 30 23 30 19 2222222 21 3 C 20 315 3 B 20 271 23 3 C 25 325 24 3 A 25 348 25 3 26 3 27 3 ABA 30 385 25 327 20 234

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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Question
A sailboat manufacturer wishes to identify a single epoxy that has high strength at all
temperatures. He designs a factorial experiment to evaluate the strength of epoxies from
three different manufacturers at low, intermediate, and high temperatures. He performs
the experiment in a completely randomized manner by randomly selecting an epoxy and
temperature for each run until all experimental runs are completed. The strength data are
shown below. Analyze the data by two-way ANOVA and construct an interaction plot.
Which manufacturer should he use and what considerations should be made?
Manufacturer
B
C
309, 295, 315
20
A
216, 239, 234
Temperature 25
344, 335, 348
278, 299, 271
311, 319, 327 321, 312, 325
30
372, 366, 385
360, 366, 361 | | 371, 361, 349
Transcribed Image Text:A sailboat manufacturer wishes to identify a single epoxy that has high strength at all temperatures. He designs a factorial experiment to evaluate the strength of epoxies from three different manufacturers at low, intermediate, and high temperatures. He performs the experiment in a completely randomized manner by randomly selecting an epoxy and temperature for each run until all experimental runs are completed. The strength data are shown below. Analyze the data by two-way ANOVA and construct an interaction plot. Which manufacturer should he use and what considerations should be made? Manufacturer B C 309, 295, 315 20 A 216, 239, 234 Temperature 25 344, 335, 348 278, 299, 271 311, 319, 327 321, 312, 325 30 372, 366, 385 360, 366, 361 | | 371, 361, 349
A
B
°
0
E
F
Strength Manufacturer Temperature
216
A
239
A
234
A
222
105
15
G
H
J
く
SO
RO
Block
Mfg
Temp Strength
7
1
1
C
20
309
2
1
A
20
216
3
1
B
25
311
344
A
25
4
4
1
B
20
278
335
A
25
2
5
1
A
25
344
348
A
25
8
6
1
C
25
321
372
A
30
6
7
1
B
30
360
366
A
30
3
8
1
A
30
372
385
A
30
9
9
1
C
30
371
278
B
20
18
10
2
C
30
361
299
B
20
12
11
2
A
30
366
271
B
20
16
12
2
C
20
295
311
B
25
13
13
2
B
20
299
319
B
25
15
14
2
B
30
366
327
B
25
11
15
2
A
25
335
360
B
30
10
16
2
A
20
239
366
B
30
17
17
2
C
25
312
361
B
30
14
18
2
B
25
319
309
C
20
24
19
3
B
30
361
295
C
20
27
20
3
C
30
349
315
C
20
25
321
C
25
22
312
C
25
26
325
C
25
20
371
C
30
361
C
349
C
333
21
30
23
30
19
2222222
21
3
C
20
315
3
B
20
271
23
3
C
25
325
24
3
A
25
348
25
3
26
3
27
3
ABA
30
385
25
327
20
234
Transcribed Image Text:A B ° 0 E F Strength Manufacturer Temperature 216 A 239 A 234 A 222 105 15 G H J く SO RO Block Mfg Temp Strength 7 1 1 C 20 309 2 1 A 20 216 3 1 B 25 311 344 A 25 4 4 1 B 20 278 335 A 25 2 5 1 A 25 344 348 A 25 8 6 1 C 25 321 372 A 30 6 7 1 B 30 360 366 A 30 3 8 1 A 30 372 385 A 30 9 9 1 C 30 371 278 B 20 18 10 2 C 30 361 299 B 20 12 11 2 A 30 366 271 B 20 16 12 2 C 20 295 311 B 25 13 13 2 B 20 299 319 B 25 15 14 2 B 30 366 327 B 25 11 15 2 A 25 335 360 B 30 10 16 2 A 20 239 366 B 30 17 17 2 C 25 312 361 B 30 14 18 2 B 25 319 309 C 20 24 19 3 B 30 361 295 C 20 27 20 3 C 30 349 315 C 20 25 321 C 25 22 312 C 25 26 325 C 25 20 371 C 30 361 C 349 C 333 21 30 23 30 19 2222222 21 3 C 20 315 3 B 20 271 23 3 C 25 325 24 3 A 25 348 25 3 26 3 27 3 ABA 30 385 25 327 20 234
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