The lifetime of a tool was investigated under three settings for feed rate and three settings for speed. Four tools were tested under each combination of settings. The results (in hours) were as follows. Feed Rate Speed Lifetime Light Light Light Slow 60.6 57.0 61.4 59.7 Medium 57.8 59.4 62.8 58.2 Fast 56.5 52.3 58.1 53.9 Medium Slow 51.2 53.1 48.3 51.6 Medium Medium 49.6 48.1 49.8 51.1 Medium Fast 45.7 48.6 45.0 49.2 Нeavy Heavy Неavy Slow 44.8 46.6 46.7 41.9 51.3 Medium 41.4 38.3 37.9 Fast 37.2 32.8 39.9 35.9 Construct an ANOVA table. You may give ranges for the P-values. Is the additive model plausible? Provide the value of a test statistic and the P-value. a. b. Can the effect of feed rate on lifetime be described by interpreting the main effects of feed rate? If so, interpret the main effects, using multiple comparisons at the 5% level if necessary. If not, explain why not. Can the effect of the speed on lifetime be described by interpreting the main effects of distance? If so, interpret the main effects, using multiple comparisons at the 5% level if necessary. If not, explain why not. C. d.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The lifetime of a tool was investigated under three settings for feed rate and three settings
for speed. Four tools were tested under each combination of settings. The results (in hours)
were as follows.
Feed Rate
Speed
Lifetime
Light
Light
Light
Slow
60.6
57.0
61.4
59.7
Medium
57.8
59.4
62.8
58.2
Fast
56.5
52.3
58.1
53.9
Medium
Slow
51.2
53.1
48.3
51.6
Medium
Medium
49.6
48.1
49.8
51.1
Medium
Fast
45.7
48.6
45.0
49.2
Нeavy
Heavy
Неavy
Slow
44.8
46.6
46.7
41.9
51.3
Medium
41.4
38.3
37.9
Fast
37.2
32.8
39.9
35.9
Construct an ANOVA table. You may give ranges for the P-values.
Is the additive model plausible? Provide the value of a test statistic and the P-value.
a.
b.
Can the effect of feed rate on lifetime be described by interpreting the main effects of
feed rate? If so, interpret the main effects, using multiple comparisons at the 5% level
if necessary. If not, explain why not.
Can the effect of the speed on lifetime be described by interpreting the main effects of
distance? If so, interpret the main effects, using multiple comparisons at the 5% level if
necessary. If not, explain why not.
C.
d.
Transcribed Image Text:The lifetime of a tool was investigated under three settings for feed rate and three settings for speed. Four tools were tested under each combination of settings. The results (in hours) were as follows. Feed Rate Speed Lifetime Light Light Light Slow 60.6 57.0 61.4 59.7 Medium 57.8 59.4 62.8 58.2 Fast 56.5 52.3 58.1 53.9 Medium Slow 51.2 53.1 48.3 51.6 Medium Medium 49.6 48.1 49.8 51.1 Medium Fast 45.7 48.6 45.0 49.2 Нeavy Heavy Неavy Slow 44.8 46.6 46.7 41.9 51.3 Medium 41.4 38.3 37.9 Fast 37.2 32.8 39.9 35.9 Construct an ANOVA table. You may give ranges for the P-values. Is the additive model plausible? Provide the value of a test statistic and the P-value. a. b. Can the effect of feed rate on lifetime be described by interpreting the main effects of feed rate? If so, interpret the main effects, using multiple comparisons at the 5% level if necessary. If not, explain why not. Can the effect of the speed on lifetime be described by interpreting the main effects of distance? If so, interpret the main effects, using multiple comparisons at the 5% level if necessary. If not, explain why not. C. d.
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