Question

QUESTION 6 An experiment was conducted on a large storage battery used in military equipment. The object of the experiment was to determine the effect of temperature and type of battery plate material on the effective lifetime of the battery as measured in hours. Three types of battery plate material (labeled A, B, and C) and three temperature levels (Low, Medium, and High) were studied. There were 4 batteries tested in each cell of the experiment. The following tables and graph come from the analysis of the observed data (some entries have been replaced with ): Analysis of Variance Source DF Sum of Squares Mean Square F Ratio Model 59416.222 7427.03 10.9995 Error 18230.750 675.21 P-value Total 77646.972 <.0001 Effect Tests Source DF Sum of Squares Mean Square F Ratio P-value Material 10683.722 5341.861 Temperature 39118.722 19559.361 28.9677 <.0001 Temperature*Material 3.5595 Life LS Means 200 150 100 50 0 A B C Material Low Medium High Reference: Ref 13-6 There was criticism with respect to the above experiment that the number of batteries tested was too few for accurate results. If the experimenters had tested 2 additional batteries at each factor level combination, how would that change the degrees of freedom in the ANOVA table? O A. Only the degrees of freedom for error would change to DFE = (3-1)(3-1)(6-1) = 20. O B. All degrees of freedom in the table would be increased by 2. O C. The Temperature by Material interaction would now have DFTM = 14. O D. The DFT would be 53, the DFE would be 45; all others would not change. O E. Only the degrees of freedom for Total would change to DFT = 53.

QUESTION 6

An experiment was conducted on a large storage battery used in military equipment. The object of the experiment was to determine the effect of temperature and type of battery plate material on the effective lifetime of the battery as measured in hours. Three types of battery plate material (labeled A, B, and C) and three temperature levels (Low, Medium, and High) were studied. There were 4 batteries tested in each cell of the experiment. The following tables and graph come from the analysis of the observed data (some entries have been replaced with **):

Analysis of Variance
Source DF Sum of Squares Mean Square F Ratio
Model ** 59416.222 7427.03 10.9995
Error ** 18230.750 675.21 P-value
Total ** 77646.972 <.0001

Effect Tests
Source DF Sum of Squares Mean Square F Ratio P-value
Material ** 10683.722 5341.861 ** **
Temperature ** 39118.722 19559.361 28.9677 <.0001
Temperature*Material ** ** ** 3.5595 **

Life LS Means
200
150
100
50
0
A B C
Material
Low
Medium
High

Reference: Ref 13-6

There was criticism with respect to the above experiment that the number of batteries tested was too few for accurate results. If the experimenters had tested 2 additional batteries at each factor level combination, how would that change the degrees of freedom in the ANOVA table?
O A. Only the degrees of freedom for error would change to DFE = (3-1)(3-1)(6-1) = 20.
O B. All degrees of freedom in the table would be increased by 2.
O C. The Temperature by Material interaction would now have DFTM = 14.
O D. The DFT would be 53, the DFE would be 45; all others would not change.
O E. Only the degrees of freedom for Total would change to DFT = 53.

QUESTION 6

An experiment was conducted on a large storage battery used in military equipment. The object of the experiment was to determine the effect of temperature and type of battery plate material on the effective lifetime of the battery as measured in hours. Three types of battery plate material (labeled A, B, and C) and three temperature levels (Low, Medium, and High) were studied. There were 4 batteries tested in each cell of the experiment. The following tables and graph come from the analysis of the observed data (some entries have been replaced with **):

Analysis of Variance
Source DF Sum of Squares Mean Square F Ratio
Model ** 59416.222 7427.03 10.9995
Error ** 18230.750 675.21 P-value
Total ** 77646.972 <.0001

Effect Tests
Source DF Sum of Squares Mean Square F Ratio P-value
Material ** 10683.722 5341.861 ** **
Temperature ** 39118.722 19559.361 28.9677 <.0001
Temperature*Material ** ** ** 3.5595 **

Life LS Means
200
150
100
50
0
A B C
Material
Low
Medium
High

Reference: Ref 13-6

There was criticism with respect to the above experiment that the number of batteries tested was too few for accurate results. If the experimenters had tested 2 additional batteries at each factor level combination, how would that change the degrees of freedom in the ANOVA table?
O A. Only the degrees of freedom for error would change to DFE = (3-1)(3-1)(6-1) = 20.
O B. All degrees of freedom in the table would be increased by 2.
O C. The Temperature by Material interaction would now have DFTM = 14.
O D. The DFT would be 53, the DFE would be 45; all others would not change.
O E. Only the degrees of freedom for Total would change to DFT = 53.

Added by Mariano S.

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