Question

...l Verizon 21:37 6% Х MBA 626 Case Stu... Q MBA 626 Case Study Two-Way ANOVA Product development engineers and marketers at a household washing machine manufacturing firm want to determine the optimal length of time for a washing cycle. Part of the study includes understanding the relationship between the detergent used (four brands) and the length of the washing cycle (18, 20, 22, or 24 minutes). In order to run the experiment, 32 standard household laundry loads (having equal amount of dirt and the same total weights) are randomly assigned to the 16 detergent-washing cycle combinations. The results (in pounds of dirt removed) are shown below. (Note: The higher the number, the more dirt removed). Detergent Brand А B Cycle Time (in min) 18 20 0.13 0.12 0.11 0.11 0.14 0.15 0.10 0.14 0.16 0.15 0.17 0.14 0.09 0.12 0.13 0.13 22 0.19 0.17 0.18 0.17 0.18 0.19 0.16 0.16 24 0.15 0.18 0.20 0.18 0.19 0.21 0.15 0.17 с D a) Draw an interaction plot of the detergent means by cycle time. b) Compute the ANOVA using Excel and using the 0.05 significance level, test the interaction effect of brand and cycle time on "dirt removed." c) Based on your results in part (b), conduct the appropriate tests of hypotheses for differences in factor means. d) Write a 1-2 page paper, using APA format, explaining how you interpret the results of this study. Please see the attached rubric "RUBRIC MBA SLO 1.2 MBA 626 Case Study for these details which will be used for grading purposes. e) Upload to the designated ECN Assignment tab by the due date/time. Edit in Google Docs

may I be able to get the excel sheet for this? sections A and B, I do have the rest of it.

Answer 1

(a)

Interaction Plot Brand 0.250 0.200 A G 0.150 X Cell Mean 0.100 0.050 0.000 A B С D 718 *20 -22 7-24

Interaction Plot Cycle Time 0.250 0.200 0.150 Cell Mean 0.100 0.050 0.000 18 20 22 24 A *B C D

(b)

Two factor ANOVA Cycle Time Means: Brand А. B с D 18 0.120 0.120 0.165 0.110 0.129 20 0.115 0.145 0.145 0.125 0.133 22 0.180 0.175 0.185 0.160 0.175 24 0.165 0.190 0.200 0.160 0.179 0.145 0.158 0.174 0.139 0.154 2 replications per cell ANOVA table Source SS Brand 0.0057 Cycle Time 0.0172 Interaction 0.0022 Error 0.0034 Total 0.0286 df 3 3 9 16 31 MS 0.00191 0.00574 0.00024 0.00021 F 8.98 27.02 1.15 p-value .0010 1.68E-06 3860

p- value for interaction > 0.05, so there is no significant interaction between brand and cycle time on dirt removed.

(c) Both the factors (Brand and Cycle Time) have p- values < 0.05, so both the main factors are significant. The mean dirt removed is significantly different for both brands and cycle times.

(d) There is a main effect of Detergent Brand. (F (3, 16) = 8.98, p < 0.05)

There is a main effect of Detergent Brand. (F (3, 16) = 27.02, p < 0.05)

There is no interaction effect. (F (9, 16) = 1.15, p > 0.05)

Detergent Brand	18 min	20 min	22 min	24 min
A	0.13	0.12	0.19	0.15
	0.11	0.11	0.17	0.18
B	0.14	0.15	0.18	0.2
	0.1	0.14	0.17	0.18
C	0.16	0.15	0.18	0.19
	0.17	0.14	0.19	0.21
D	0.09	0.12	0.16	0.15
	0.13	0.13	0.16	0.17