In a completely randomized design, 12 experimental units were used for the first treatment,…

In a completely
randomized design, 12 experimental units were used for the first treatment, 15
for the second treatment, and 20 for the third treatment. Complete the following
analysis of variance (to 2 decimals, if necessary). If the answer is zero enter
“0”.

Source of Variation

Sum of Squares

Degrees of Freedom

Mean Square

F

p-value

Treatments

1000

Error

Total

1600

b.

Three different
methods for assembling a product were proposed by an industrial engineer. To
investigate the number of units assembled correctly with each method, 30
employees were randomly selected and randomly assigned to the three proposed
methods in such a way that each method was used by 10 workers. The number of
units assembled correctly was recorded, and the analysis of variance procedure
was applied to the resulting data set. The following results were obtained:
SST=10,720; SSTR=4520

a. Set up the ANOVA table for this problem (to 2 decimals butp-value to 4 decimals, if necessary).

Source of Variation

Sum of Squares

Degrees of Freedom

Mean Square

F

p-value

Treatments

Error

Total

b.Use APHA=0.05 to test for any significant difference in the means for
the three assembly methods.

Calculate the value
of the test statistic (to 2 decimals)

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