An engineer has set up a DOE (design-of-experiment) to test the wear of laminated materials and how it depends on the glue and filler used. At each test condition, two experiments were run. The engineer collecter the data below. Calculate the main and interaction effects. Glue Filler Result 1 Result 2 0.3 0.5 65 70 0.6 0.5 0.3 0.75 0.6 0.75 101 89 97 61 72 105 Calculate the test statistics. SSctue number (rtol=0.01, atol=0.0001) SSFiler number (rtol=0.01, atol=0.0001) SIinteraction number (rtol=0.01, atol=0.0001) Felue number (rtol=0.01, atol=0.0001) FFiller number (rtol=0.01, atol=0.0001) Finteraction number (rtol=0.01, atol=0.0001) Calculate the p-value. Pelue number (rtol=0.01, atol=0.0001) Pfiller number (rtol=0.01, atol=0.0001) Pinteraction number (rtol=0.01, atol=0.0001) Which are statistically significant at a 10% level? State your decisions. O (a) Cannot Reject HO: Glue O (b) Reject HO: Interaction O (c) Cannot Reject HO: Interaction O (d) Reject HO: Filler O (e) Cannot Reject HO: Filler O () Reject HỌ: Glue

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An engineer has set up a DOE (design-of-experiment) to test the wear of laminated materials and how it
depends on the glue and filler used. At each test condition, two experiments were run. The engineer collected
the data below. Calculate the main and interaction effects.
Glue Filler Result 1 Result 2
0.3 0.5
65
70
0.6 0.5
0.3 0.75
0.6 0.75 101
89
97
61
72
105
Calculate the test statistics.
SSclue number (rtol=0.01, atol=0.0001)
SSpiller number (rtol=0.01, atol=0.0001)
SSinteraction number (rtol=0.01, atol=0.0001)
Felue
number (rtol=0.01, atol=0.0001)
Friller number (rtol=0.01, atol=0.0001)
Finteraction number (rtol=0.01, atol=0.0001)
Calculate the p-value.
Pclue number (rtol=0.01, atol=0.0001)
PFiller number (rtol=0.01, atol=0.0001)
Pinteraction number (rtol=0.01, atol=0.0001)
Which are statistically significant at a 10% level? State your decisions.
O (a) Cannot Reject HO: Glue
O (b) Reject HO: Interaction
O (c) Cannot Reject HO: Interaction
O (d) Reject H0: Filler
O (e) Cannot Reject HO: Filler
O (f) Reject HO: Glue
Transcribed Image Text:An engineer has set up a DOE (design-of-experiment) to test the wear of laminated materials and how it depends on the glue and filler used. At each test condition, two experiments were run. The engineer collected the data below. Calculate the main and interaction effects. Glue Filler Result 1 Result 2 0.3 0.5 65 70 0.6 0.5 0.3 0.75 0.6 0.75 101 89 97 61 72 105 Calculate the test statistics. SSclue number (rtol=0.01, atol=0.0001) SSpiller number (rtol=0.01, atol=0.0001) SSinteraction number (rtol=0.01, atol=0.0001) Felue number (rtol=0.01, atol=0.0001) Friller number (rtol=0.01, atol=0.0001) Finteraction number (rtol=0.01, atol=0.0001) Calculate the p-value. Pclue number (rtol=0.01, atol=0.0001) PFiller number (rtol=0.01, atol=0.0001) Pinteraction number (rtol=0.01, atol=0.0001) Which are statistically significant at a 10% level? State your decisions. O (a) Cannot Reject HO: Glue O (b) Reject HO: Interaction O (c) Cannot Reject HO: Interaction O (d) Reject H0: Filler O (e) Cannot Reject HO: Filler O (f) Reject HO: Glue
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