As industrial engineer invested the effect of four assembly methods (A, B, C and

Question

As industrial engineer invested the effect of four assembly methods (A, B, C and D) on the assembly time (in minutes) for a color television component. The resultant data was used to procedure the following ANOVA table. a) How many replicates were collected in this experiment? b) Write the effects model of this experiment, indicating the specific of the number of values, 'n' replicates and the number of factor levels 'n'. c) Using the effect parameter, indicate hypothesis that is being tested. d) Why do we use the F - in the ANOVA table? c) Complete the ANOVA (fill in the blanks) and use alpha = 0.05, to test the significance of the assembly method on the assembly time. f) Calculate the proportion of variability in the assembly time that can be explained using the method of assembly. g) If the goal is to reduce the assembly time, carry out the necessary Tukey test to propose the best assembly method.

Explanation / Answer

a) 15 + 1 = 16

b) n = 16

s = 4 [number of treaments]

c) H0 : 4 treatments are not different

H1 : 4 treatmetns are different [atleast two treatments different]

d) F test is used to test the severel means for different treatments.

e)

Here F statistic > 3.49 [F critical]

we infer that 4 treatments are different

sov sum of squares df Mean sum of squares Fstatistic F critical Treatment 95.5 3 31.8333 7.01 3.49 Error 54.5 12 4.5417 Total 150 15

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