1. Three different methods for assembling a product were proposed by an industri
ID: 2927556 • Letter: 1
Question
1. Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 27 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 9 workers. The number of units assembled correctly was recorded, and the ANOVA was performed on the resulting data set. The following results were obtained: SST = 10,400; SSTR = 4,700. State the Hypotheses.
a. Prepare the ANOVA table and fill out all the cells.
b. Use = .01 to test for any significant difference in the means for the three assembly methods. Use both p-Value and Critical-Value approaches.
Please tell me what to type into Excel and if there are any formulas that can be used. Thanks
Explanation / Answer
Ans:
a)
Explanation for table:
n=3*9=27
df for numerator=k-1=3-1=2
df for denominator=n-k=27-3=24
Total df=n-1=27-1=26 or 2+24=26
SST (total sum of squares) = SSE(error sum of squares) +SSTR (sum of squares for treatments)
SST=10400
SSTR=4700
SSE=10400-4700=5700
MSR=4700/2=2350
MSE=5700/24=237.5
F=2350/237.5=9.895
p-value=FDIST(9.895,2,24)=0.000735
b)p-value approach:
As,p-value<0.01,We reject null hypothesis.
critical value approach:
F-critical==FINV(0.01,2,24)=5.614
As,F=9.895>5.614,We reject null hypothesis.
df SS MS F p-value Regression 2 4700 2350 9.895 0.000735 Error 24 5700 237.5 Total 26 10400Related Questions
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