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It is desired to investigate the effect of A (position) and B (temperature) factors on the production process of a product. A two-factor experiment was arranged, with the response variable being yield, and the attached Minitab output was obtained. Answer the following question by filling in the blanks on the analysis output. (alpha=0.05) Which of the following is true? I)The interaction effect is significant. II)The effect of factor A is not significant III)The effect of factor B is significant. IV)The assumption of homogeneity of variance is not provided. V)Level 1 of factor A and level 2 of factor B are the best levels for yield. A. II, III, IV B. II, V C. I,II,IV D. III,V

It is desired to investigate the effect of A (position) and B (temperature) factors on the production process of a product. A two-factor experiment was arranged, with the response variable being yield, and the attached Minitab output was obtained. Answer the following question by filling in the blanks on the analysis output. (alpha=0.05) Which of the following is true? I)The interaction effect is significant. II)The effect of factor A is not significant III)The effect of factor B is significant. IV)The assumption of homogeneity of variance is not provided. V)Level 1 of factor A and level 2 of factor B are the best levels for yield. A. II, III, IV B. II, V C. I,II,IV D. III,V

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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statistical design of experiments question

It is desired to investigate the effect of A (position) and B (temperature) factors on the production process of a product. A two-factor experiment was arranged, with the response variable being yield, and the attached Minitab output was obtained. Answer the following question by filling in the blanks on the analysis output. (alpha=0.05)

Which of the following is true?

I)The interaction effect is significant.
II)The effect of factor A is not significant
III)The effect of factor B is significant.
IV)The assumption of homogeneity of variance is not provided.
V)Level 1 of factor A and level 2 of factor B are the best levels for yield.

A. II, III, IV

B. II, V

C. I,II,IV

D. III,V

ANOVA: Density versus Position; Temperature Factor A B Source A B A*B Error Total vegy Analysis of Variance for Density 7130 900 230 700 500 Type fixed fixed 1 2 Position Position Temperature 800 825 850 Main Effects Plot for Density Data Mans 800 DF 825 ******** 850 Levels 12 17 2 3 SS 945342 818 5371 958691 1; 2 800; 825; 850 Values Temperature Test for Equal Variances: Density vs Position; Temperature Multiple comparison intervals for the standard deviation, a = 0,05 MS ó 100 200 300 400 500 600 If intervals do not overlap, the corresponding stdevs are significantly different. Mean 700 F 1330 900 600 www. Multiple Comparisons P-Value 0,210 Levene's Test P-Value 0,448 Interaction Plot for Density Data Mans Temperature Padition
Transcribed Image Text:ANOVA: Density versus Position; Temperature Factor A B Source A B A*B Error Total vegy Analysis of Variance for Density 7130 900 230 700 500 Type fixed fixed 1 2 Position Position Temperature 800 825 850 Main Effects Plot for Density Data Mans 800 DF 825 ******** 850 Levels 12 17 2 3 SS 945342 818 5371 958691 1; 2 800; 825; 850 Values Temperature Test for Equal Variances: Density vs Position; Temperature Multiple comparison intervals for the standard deviation, a = 0,05 MS ó 100 200 300 400 500 600 If intervals do not overlap, the corresponding stdevs are significantly different. Mean 700 F 1330 900 600 www. Multiple Comparisons P-Value 0,210 Levene's Test P-Value 0,448 Interaction Plot for Density Data Mans Temperature Padition
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