4. A completely randomized block experiment was devised to test four different detergents as to their effectiveness. Three different washing machines were employed in the process. The raw data is given below. Machine II Detergent 1 Detergent 2 Detergent 3 Detergent 4 53 50 59 54 54 60 56 58 62 50 45 57 The results of the Randomized Complete Block Design Analysis of Variance follow: Analysis of Variance Table Df Sum Sq Mean Sq F value Pr(>F) factor(machine) 135.1667 67.58333 18.29323 0.002797 factor(detergent) 3 102.3333 34.1111 9.233083 0.01149 Residuals 6 22.1667 3.6944 a. Is there no significant difference in the means scores for effectiveness between the four detergents? Why? b. Is "blocking" effective in isolating a major source of variability of the dependent variable? Why or why not?

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4. A completely randomized block experiment was devised to test four different
detergents as to their effectiveness. Three different washing machines were employed
in the process. The raw data is given below.
Machine
II
Detergent 1
Detergent 2
Detergent 3
Detergent 4
53
50
59
54
54
60
56
58
62
50
45
57
The results of the Randomized Complete Block Design Analysis of Variance follow:
Analysis of Variance Table
Df
Sum Sq
Mean Sq
F value
Pr(>F)
factor(machine)
2
135.1667
67.58333
18.29323
0.002797
factor(detergent)
3
102.3333
34.1111
9.233083
0.01149
Residuals
22.1667
3.6944
a. Is there no significant difference in the means scores for effectiveness between the four
detergents? Why?
b. Is "blocking" effective in isolating a major source of variability of the dependent
variable? Why or why not?
Transcribed Image Text:4. A completely randomized block experiment was devised to test four different detergents as to their effectiveness. Three different washing machines were employed in the process. The raw data is given below. Machine II Detergent 1 Detergent 2 Detergent 3 Detergent 4 53 50 59 54 54 60 56 58 62 50 45 57 The results of the Randomized Complete Block Design Analysis of Variance follow: Analysis of Variance Table Df Sum Sq Mean Sq F value Pr(>F) factor(machine) 2 135.1667 67.58333 18.29323 0.002797 factor(detergent) 3 102.3333 34.1111 9.233083 0.01149 Residuals 22.1667 3.6944 a. Is there no significant difference in the means scores for effectiveness between the four detergents? Why? b. Is "blocking" effective in isolating a major source of variability of the dependent variable? Why or why not?
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