Q3 Specify null and alternative hypotheses (total three sets) Run two way ANOVA to test hypotheses State your statistical conclusion If you find the interaction effect significant (i e , reject the null), run simple main effect tests for both factors Briefly discuss your findings customer type firm size product quality 1 to 5 years Large (500 ) 8 5 Over 5 years Small (0 to 499) 8 2 Over 5 years Large (500 ) 9 2 Less than 1 year Large (500 ) 6 4 1 to 5 years Large (500 ) 9 0 Less than 1 year Small (0 to 499) 6 5 Less than 1 year Large (500 ) 6 9 1 to 5 years Large (500 ) 6 2 1 to 5 years Large (500 ) 5 8 Less than 1 year Large (500 ) 6 4 Over 5 years Large (500 ) 8 7 Less than 1 year Large (500 ) 6 1 Less than 1 year Small (0 to 499) 9 5 Over 5 years Small (0 to 499) 9 2 1 to 5 years Large (500 ) 6 3 Over 5 years Small (0 to 499) 8 7 1 to 5 years Small (0 to 499) 5 7 1 to 5 years Large (500 ) 5 9 1 to 5 years Large (500 ) 5 6 Over 5 years Large (500 ) 9 1 Less than 1 year Small (0 to 499) 5 2 Over 5 years Large (500 ) 9 6 1 to 5 years Small (0 to 499) 8 6 Over 5 years Large (500 ) 9 3 Less than 1 year Small (0 to 499) 6 0 1 to 5 years Large (500 ) 6 4 Over 5 years Small (0 to 499) 8 5 Less than 1 year Small (0 to 499) 7 0 Over 5 years Small (0 to 499) 8 5 Less than 1 year Large (500 ) 7 6 Less than 1 year Small (0 to 499) 6 9 Less than 1 year Large (500 ) 8 1 Less than 1 year Large (500 ) 6 7 1 to 5 years Large (500 ) 8 0 Less than 1 year Large (500 ) 6 7 Less than 1 year Small (0 to 499) 8 7 1 to 5 years Small (0 to 499) 9 0 Over 5 years Large (500 ) 9 6 1 to 5 years Large (500 ) 8 2 Less than 1 year Small (0 to 499) 6 1 1 to 5 years Large (500 ) 8 3 1 to 5 years Small (0 to 499) 9 4 Over 5 years Large (500 ) 9 3 1 to 5 years Large (500 ) 5 1 Over 5 years Small (0 to 499) 8 0 1 to 5 years Large (500 ) 5 9 Over 5 years Small (0 to 499) 8 1 to 5 years Large (500 ) 5 7 Over 5 years Small (0 to 499) 9 9 Over 5 years Large (500 ) 7 9 Less than 1 year Large (500 ) 6 7 Over 5 years Small (0 to 499) 8 2 Over 5 years Large (500 ) 9 4 Less than 1 year Small (0 to 499) 6 9 1 to 5 years Large (500 ) 8 0 Over 5 years Small (0 to 499) 9 3 1 to 5 years Large (500 ) 7 4 Over 5 years Small (0 to 499) 7 6 Over 5 years Small (0 to 499) 8 Over 5 years Large (500 ) 9 9 Over 5 years Small (0 to 499) 8 7 1 to 5 years Large (500 ) 8 4 Less than 1 year Small (0 to 499) 8 8 Less than 1 year Large (500 ) 7 7 Less than 1 year Large (500 ) 6 6 1 to 5 years Large (500 ) 5 7 1 to 5 years Small (0 to 499) 5 7 1 to 5 years Small (0 to 499) 5 5 Less than 1 year Large (500 ) 7 5 1 to 5 years Large (500 ) 6 4 Over 5 years Small (0 to 499) 9 1 Less than 1 year Small (0 to 499) 6 7 1 to 5 years Large (500 ) 6 5 Over 5 years Large (500 ) 9 9 1 to 5 years Large (500 ) 8 5 Over 5 years Small (0 to 499) 9 9 Less than 1 year Small (0 to 499) 7 6 1 to 5 years Small (0 to 499) 9 4 Over 5 years Small (0 to 499) 9 3 Less than 1 year Large (500 ) 7 1 Over 5 years Large (500 ) 9 9 Over 5 years Small (0 to 499) 8 7 1 to 5 years Small (0 to 499) 8 6 Less than 1 year Small (0 to 499) 6 4 1 to 5 years Small (0 to 499) 7 7 Less than 1 year Large (500 ) 7 5 Less than 1 year Small (0 to 499) 5 0 1 to 5 years Small (0 to 499) 7 7 1 to 5 years Small (0 to 499) 9 1 1 to 5 years Small (0 to 499) 5 5 Over 5 years Small (0 to 499) 9 1 Less than 1 year Small (0 to 499) 7 1 Over 5 years Large (500 ) 9 2 Over 5 years Large (500 ) 9 3 Over 5 years Large (500 ) 9 3 Less than 1 year Small (0 to 499) 8 6 Less than 1 year Small (0 to 499) 7 4 Less than 1 year Small (0 to 499) 8 7 1 to 5 years Small (0 to 499) 7 8 1 to 5 years Large (500 ) 7 9 Less than 1 year Large (500 ) 7 6 Over 5 years Small (0 to 499) 9 2 1 to 5 years Small (0 to 499) 7 7 Less than 1 year Large (500 ) 9 5 1 to 5 years Large (500 ) 6 5 1 to 5 years Large (500 ) 8 3 Over 5 years Large (500 ) 9 6 1 to 5 years Large (500 ) 5 9 1 to 5 years Small (0 to 499) 8 7 Less than 1 year Small (0 to 499) 6 7 Over 5 years Small (0 to 499) 9 7 Over 5 years Small (0 to 499) 8 8 1 to 5 years Large (500 ) 8 2 Over 5 years Large (500 ) 8 9 1 to 5 years Large (500 ) 8 4 1 to 5 years Small (0 to 499) 7 7 Over 5 years Large (500 ) 9 2 Less than 1 year Large (500 ) 7 3 Less than 1 year Large (500 ) 9 0 Less than 1 year Large (500 ) 8 1 1 to 5 years Large (500 ) 7 4 1 to 5 years Large (500 ) 7 9 Less than 1 year Large (500 ) 7 7 Over 5 years Large (500 ) 9 4 Less than 1 year Large (500 ) 7 2 1 to 5 years Small (0 to 499) 8 3 Over 5 years Small (0 to 499) 7 9 Less than 1 year Large (500 ) 7 3 Over 5 years Large (500 ) 9 6 Less than 1 year Small (0 to 499) 8 3 1 to 5 years Small (0 to 499) 8 6 Over 5 years Small (0 to 499) 8 0 Less than 1 year Small (0 to 499) 6 4 Less than 1 year Large (500 ) 6 6 1 to 5 years Large (500 ) 7 6 Over 5 years Small (0 to 499) 9 4 Less than 1 year Small (0 to 499) 8 3 1 to 5 years Small (0 to 499) 7 8 Less than 1 year Large (500 ) 7 1 Less than 1 year Small (0 to 499) 7 6 1 to 5 years Large (500 ) 5 6 Over 5 years Large (500 ) 9 9 Over 5 years Large (500 ) 9 2 Over 5 years Small (0 to 499) 9 1 Over 5 years Small (0 to 499) 9 9 Over 5 years Small (0 to 499) 9 9 Less than 1 year Small (0 to 499) 6 6 Over 5 years Small (0 to 499) 9 1 1 to 5 years Large (500 ) 5 1 Less than 1 year Large (500 ) 6 0 Over 5 years Small (0 to 499) 8 9 1 to 5 years Large (500 ) 6 2 Less than 1 year Small (0 to 499) 7 2 Over 5 years Small (0 to 499) 8 8 Less than 1 year Large (500 ) 6 3 Over 5 years Small (0 to 499) 9 7 Less than 1 year Large (500 ) 5 0 Less than 1 year Small (0 to 499) 7 4 1 to 5 years Small (0 to 499) 5 5 1 to 5 years Small (0 to 499) 9 1 Less than 1 year Small (0 to 499) 6 7 1 to 5 years Large (500 ) 6 3 1 to 5 years Small (0 to 499) 8 3 1 to 5 years Small (0 to 499) 8 2 1 to 5 years Small (0 to 499) 8 2 Less than 1 year Small (0 to 499) 9 0 Less than 1 year Large (500 ) 7 1 Less than 1 year Large (500 ) 6 9 1 to 5 years Small (0 to 499) 8 6 Less than 1 year Large (500 ) 6 7 Less than 1 year Large (500 ) 7 0 Over 5 years Small (0 to 499) 9 7 Over 5 years Small (0 to 499) 9 9 Less than 1 year Small (0 to 499) 8 6 Less than 1 year Large (500 ) 6 3 Over 5 years Large (500 ) 9 9 Over 5 years Large (500 ) 9 3 Over 5 years Large (500 ) 9 7 Over 5 years Small (0 to 499) 9 7 Over 5 years Large (500 ) 9 6 1 to 5 years Small (0 to 499) 7 6 Over 5 years Small (0 to 499) 9 4 Over 5 years Large (500 ) 9 6 Over 5 years Large (500 ) 9 3 Over 5 years Small (0 to 499) 9 7 Over 5 years Small (0 to 499) 9 1 Less than 1 year Small (0 to 499) 6 5 Less than 1 year Large (500 ) 6 6 1 to 5 years Large (500 ) 5 8 1 to 5 years Small (0 to 499) 8 7 Less than 1 year Small (0 to 499) 8 8 Less than 1 year Large (500 ) 6 4 Less than 1 year Small (0 to 499) 6 7 Less than 1 year Large (500 ) 5 2 Less than 1 year Small (0 to 499) 6 4 Over 5 years Large (500 ) 7 6 1 to 5 years Large (500 ) 5 9 Over 5 years Large (500 ) 9 7 1 to 5 years Large (500 ) 5 5 Over 5 years Small (0 to 499) 9 7

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Question: Q3 Specify null and alternative hypotheses (total three sets) Run two-way ANOVA to test hypotheses. State your statistical conclusion If you find the interaction effect

Specify null and alternative hypotheses (total three sets)

Run two-way ANOVA to test hypotheses.

State your statistical conclusion

If you find the interaction effect significant (i.e., reject the null), run simple main effect tests for both factors. Briefly discuss your findings.

customer type	firm size	product quality
1 to 5 years	Large (500+)	8.5
Over 5 years	Small (0 to 499)	8.2
Over 5 years	Large (500+)	9.2
Less than 1 year	Large (500+)	6.4
1 to 5 years	Large (500+)	9.0
Less than 1 year	Small (0 to 499)	6.5
Less than 1 year	Large (500+)	6.9
1 to 5 years	Large (500+)	6.2
1 to 5 years	Large (500+)	5.8
Less than 1 year	Large (500+)	6.4
Over 5 years	Large (500+)	8.7
Less than 1 year	Large (500+)	6.1
Less than 1 year	Small (0 to 499)	9.5
Over 5 years	Small (0 to 499)	9.2
1 to 5 years	Large (500+)	6.3
Over 5 years	Small (0 to 499)	8.7
1 to 5 years	Small (0 to 499)	5.7
1 to 5 years	Large (500+)	5.9
1 to 5 years	Large (500+)	5.6
Over 5 years	Large (500+)	9.1
Less than 1 year	Small (0 to 499)	5.2
Over 5 years	Large (500+)	9.6
1 to 5 years	Small (0 to 499)	8.6
Over 5 years	Large (500+)	9.3
Less than 1 year	Small (0 to 499)	6.0
1 to 5 years	Large (500+)	6.4
Over 5 years	Small (0 to 499)	8.5
Less than 1 year	Small (0 to 499)	7.0
Over 5 years	Small (0 to 499)	8.5
Less than 1 year	Large (500+)	7.6
Less than 1 year	Small (0 to 499)	6.9
Less than 1 year	Large (500+)	8.1
Less than 1 year	Large (500+)	6.7
1 to 5 years	Large (500+)	8.0
Less than 1 year	Large (500+)	6.7
Less than 1 year	Small (0 to 499)	8.7
1 to 5 years	Small (0 to 499)	9.0
Over 5 years	Large (500+)	9.6
1 to 5 years	Large (500+)	8.2
Less than 1 year	Small (0 to 499)	6.1
1 to 5 years	Large (500+)	8.3
1 to 5 years	Small (0 to 499)	9.4
Over 5 years	Large (500+)	9.3
1 to 5 years	Large (500+)	5.1
Over 5 years	Small (0 to 499)	8.0
1 to 5 years	Large (500+)	5.9
Over 5 years	Small (0 to 499)	8
1 to 5 years	Large (500+)	5.7
Over 5 years	Small (0 to 499)	9.9
Over 5 years	Large (500+)	7.9
Less than 1 year	Large (500+)	6.7
Over 5 years	Small (0 to 499)	8.2
Over 5 years	Large (500+)	9.4
Less than 1 year	Small (0 to 499)	6.9
1 to 5 years	Large (500+)	8.0
Over 5 years	Small (0 to 499)	9.3
1 to 5 years	Large (500+)	7.4
Over 5 years	Small (0 to 499)	7.6
Over 5 years	Small (0 to 499)	8
Over 5 years	Large (500+)	9.9
Over 5 years	Small (0 to 499)	8.7
1 to 5 years	Large (500+)	8.4
Less than 1 year	Small (0 to 499)	8.8
Less than 1 year	Large (500+)	7.7
Less than 1 year	Large (500+)	6.6
1 to 5 years	Large (500+)	5.7
1 to 5 years	Small (0 to 499)	5.7
1 to 5 years	Small (0 to 499)	5.5
Less than 1 year	Large (500+)	7.5
1 to 5 years	Large (500+)	6.4
Over 5 years	Small (0 to 499)	9.1
Less than 1 year	Small (0 to 499)	6.7
1 to 5 years	Large (500+)	6.5
Over 5 years	Large (500+)	9.9
1 to 5 years	Large (500+)	8.5
Over 5 years	Small (0 to 499)	9.9
Less than 1 year	Small (0 to 499)	7.6
1 to 5 years	Small (0 to 499)	9.4
Over 5 years	Small (0 to 499)	9.3
Less than 1 year	Large (500+)	7.1
Over 5 years	Large (500+)	9.9
Over 5 years	Small (0 to 499)	8.7
1 to 5 years	Small (0 to 499)	8.6
Less than 1 year	Small (0 to 499)	6.4
1 to 5 years	Small (0 to 499)	7.7
Less than 1 year	Large (500+)	7.5
Less than 1 year	Small (0 to 499)	5.0
1 to 5 years	Small (0 to 499)	7.7
1 to 5 years	Small (0 to 499)	9.1
1 to 5 years	Small (0 to 499)	5.5
Over 5 years	Small (0 to 499)	9.1
Less than 1 year	Small (0 to 499)	7.1
Over 5 years	Large (500+)	9.2
Over 5 years	Large (500+)	9.3
Over 5 years	Large (500+)	9.3
Less than 1 year	Small (0 to 499)	8.6
Less than 1 year	Small (0 to 499)	7.4
Less than 1 year	Small (0 to 499)	8.7
1 to 5 years	Small (0 to 499)	7.8
1 to 5 years	Large (500+)	7.9
Less than 1 year	Large (500+)	7.6
Over 5 years	Small (0 to 499)	9.2
1 to 5 years	Small (0 to 499)	7.7
Less than 1 year	Large (500+)	9.5
1 to 5 years	Large (500+)	6.5
1 to 5 years	Large (500+)	8.3
Over 5 years	Large (500+)	9.6
1 to 5 years	Large (500+)	5.9
1 to 5 years	Small (0 to 499)	8.7
Less than 1 year	Small (0 to 499)	6.7
Over 5 years	Small (0 to 499)	9.7
Over 5 years	Small (0 to 499)	8.8
1 to 5 years	Large (500+)	8.2
Over 5 years	Large (500+)	8.9
1 to 5 years	Large (500+)	8.4
1 to 5 years	Small (0 to 499)	7.7
Over 5 years	Large (500+)	9.2
Less than 1 year	Large (500+)	7.3
Less than 1 year	Large (500+)	9.0
Less than 1 year	Large (500+)	8.1
1 to 5 years	Large (500+)	7.4
1 to 5 years	Large (500+)	7.9
Less than 1 year	Large (500+)	7.7
Over 5 years	Large (500+)	9.4
Less than 1 year	Large (500+)	7.2
1 to 5 years	Small (0 to 499)	8.3
Over 5 years	Small (0 to 499)	7.9
Less than 1 year	Large (500+)	7.3
Over 5 years	Large (500+)	9.6
Less than 1 year	Small (0 to 499)	8.3
1 to 5 years	Small (0 to 499)	8.6
Over 5 years	Small (0 to 499)	8.0
Less than 1 year	Small (0 to 499)	6.4
Less than 1 year	Large (500+)	6.6
1 to 5 years	Large (500+)	7.6
Over 5 years	Small (0 to 499)	9.4
Less than 1 year	Small (0 to 499)	8.3
1 to 5 years	Small (0 to 499)	7.8
Less than 1 year	Large (500+)	7.1
Less than 1 year	Small (0 to 499)	7.6
1 to 5 years	Large (500+)	5.6
Over 5 years	Large (500+)	9.9
Over 5 years	Large (500+)	9.2
Over 5 years	Small (0 to 499)	9.1
Over 5 years	Small (0 to 499)	9.9
Over 5 years	Small (0 to 499)	9.9
Less than 1 year	Small (0 to 499)	6.6
Over 5 years	Small (0 to 499)	9.1
1 to 5 years	Large (500+)	5.1
Less than 1 year	Large (500+)	6.0
Over 5 years	Small (0 to 499)	8.9
1 to 5 years	Large (500+)	6.2
Less than 1 year	Small (0 to 499)	7.2
Over 5 years	Small (0 to 499)	8.8
Less than 1 year	Large (500+)	6.3
Over 5 years	Small (0 to 499)	9.7
Less than 1 year	Large (500+)	5.0
Less than 1 year	Small (0 to 499)	7.4
1 to 5 years	Small (0 to 499)	5.5
1 to 5 years	Small (0 to 499)	9.1
Less than 1 year	Small (0 to 499)	6.7
1 to 5 years	Large (500+)	6.3
1 to 5 years	Small (0 to 499)	8.3
1 to 5 years	Small (0 to 499)	8.2
1 to 5 years	Small (0 to 499)	8.2
Less than 1 year	Small (0 to 499)	9.0
Less than 1 year	Large (500+)	7.1
Less than 1 year	Large (500+)	6.9
1 to 5 years	Small (0 to 499)	8.6
Less than 1 year	Large (500+)	6.7
Less than 1 year	Large (500+)	7.0
Over 5 years	Small (0 to 499)	9.7
Over 5 years	Small (0 to 499)	9.9
Less than 1 year	Small (0 to 499)	8.6
Less than 1 year	Large (500+)	6.3
Over 5 years	Large (500+)	9.9
Over 5 years	Large (500+)	9.3
Over 5 years	Large (500+)	9.7
Over 5 years	Small (0 to 499)	9.7
Over 5 years	Large (500+)	9.6
1 to 5 years	Small (0 to 499)	7.6
Over 5 years	Small (0 to 499)	9.4
Over 5 years	Large (500+)	9.6
Over 5 years	Large (500+)	9.3
Over 5 years	Small (0 to 499)	9.7
Over 5 years	Small (0 to 499)	9.1
Less than 1 year	Small (0 to 499)	6.5
Less than 1 year	Large (500+)	6.6
1 to 5 years	Large (500+)	5.8
1 to 5 years	Small (0 to 499)	8.7
Less than 1 year	Small (0 to 499)	8.8
Less than 1 year	Large (500+)	6.4
Less than 1 year	Small (0 to 499)	6.7
Less than 1 year	Large (500+)	5.2
Less than 1 year	Small (0 to 499)	6.4
Over 5 years	Large (500+)	7.6
1 to 5 years	Large (500+)	5.9
Over 5 years	Large (500+)	9.7
1 to 5 years	Large (500+)	5.5
Over 5 years	Small (0 to 499)	9.7

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