O ANOVA Source of df MS F P-value F crit Variation Sample 0.000413 3 0.000138 0.785714 0.519244 3.238872 Columns 0.027338 3 0.009113 52.07143 1.78E-08 3.238872 Interaction 0.002337 9 0.00026 1.484127 0.235118 2.537667 Within 0.0028 16 0.000175 Total 0.032888 31 O ANOVA Source of df MS F P-value F crit Variation Sample 0.001113 3 0.000371 2.069767 0.157814 3.490295 Columns 0.0075 2 0.00375 20.93023 0.000122 3.885294 Interaction 0.0003 6 5E-05 0.27907 0.936042 2.99612 Within 0.00215 12 0.000179

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Perform a Two-way Analysis of variance with Replication im Excel and output the ANOVA table assuming a 5% level of significance. Choose the correct Excel output.
O ANOVA
Source of
df
MS
P-value
F crit
Variation
Sample
0.000413
3
0.000138
0.785714
0.519244 3.238872
Columns
0.027338
3
0.009113
52.07143
1.78E-08 3.238872
Interaction
0.002337
9
0.00026
1.484127
0.235118
2.537667
Within
0.0028
16
0.000175
Total
0.032888
31
ANOVA
Source of
df
MS
P-value
F crit
Variation
Sample
0.001113
3
0.000371
2.069767
0.157814
3.490295
Columns
0.0075
2
0.00375
20.93023
0.000122
3.885294
Interaction
0.0003
6
5E-05
0.27907
0.936042
2.99612
Within
0.00215
12
0.000179
Total
0.011063
23
ANOVA
Source of
SS
df
MS
P-value
F crit
Variation
Rows
0.001538
7
0.00022
1.149533
0.371541
2.487578
Columns
0.027338
0.009113
47.69159
1.5E-09
3.072467
Error
0.004012
21
0.000191
Total
0.032888
31
ANOVA
Source of
df
MS
P-value
F crit
Variation
Sample
0.0002
1
0.0002
0.90566
0.350755 4.259677
Columns
0.027338
3
0.009113
41.26415
1.25E-09 3.008787
Interaction
5E-05
3
1.67E-05
0.075472
0.972613
3.008787
Within
0.0053
24
0.000221
Total
0.032888
31
Transcribed Image Text:Perform a Two-way Analysis of variance with Replication im Excel and output the ANOVA table assuming a 5% level of significance. Choose the correct Excel output. O ANOVA Source of df MS P-value F crit Variation Sample 0.000413 3 0.000138 0.785714 0.519244 3.238872 Columns 0.027338 3 0.009113 52.07143 1.78E-08 3.238872 Interaction 0.002337 9 0.00026 1.484127 0.235118 2.537667 Within 0.0028 16 0.000175 Total 0.032888 31 ANOVA Source of df MS P-value F crit Variation Sample 0.001113 3 0.000371 2.069767 0.157814 3.490295 Columns 0.0075 2 0.00375 20.93023 0.000122 3.885294 Interaction 0.0003 6 5E-05 0.27907 0.936042 2.99612 Within 0.00215 12 0.000179 Total 0.011063 23 ANOVA Source of SS df MS P-value F crit Variation Rows 0.001538 7 0.00022 1.149533 0.371541 2.487578 Columns 0.027338 0.009113 47.69159 1.5E-09 3.072467 Error 0.004012 21 0.000191 Total 0.032888 31 ANOVA Source of df MS P-value F crit Variation Sample 0.0002 1 0.0002 0.90566 0.350755 4.259677 Columns 0.027338 3 0.009113 41.26415 1.25E-09 3.008787 Interaction 5E-05 3 1.67E-05 0.075472 0.972613 3.008787 Within 0.0053 24 0.000221 Total 0.032888 31
The operations manager for an appliance manufacturer wants to determine the optimal length of time for the washing cycle of a household clothes washer. An experiment is designed to
measure the effect of detergent brand and washing cycle time on the amount of dirt removed from standard household laundry loads. Four brands of detergent (A,B,C,D) and four levels of
washing cycles (18, 20, 22, and 24 minutes) are specifically selected for analysis. 32 standard household laundry loads (having equal weight and dirt) are randomly assigned to the 16
detergent-washing cycle time combinations. The results (in pounds of dirt removed) are:
Washing Cycle Time (in Minutes)
Brand
18
20
22
24
A
0.11
0.13
0.17
0.17
0.09
0.13
0.19
0.18
B
0.12
0.14
0.17
0.19
0.1
0.15
0.18
0.17
0.08
0.16
0.18
0.2
0.09
0.13
0.17
0.16
0.11
0.12
0.16
0.15
0.13
0.13
0.17
0.17
Perform a Two-way Analysis of Variance with Replication in Excel and output the ANOVA table assuming a 5% level of significance. Choose the correct Excel output.
Transcribed Image Text:The operations manager for an appliance manufacturer wants to determine the optimal length of time for the washing cycle of a household clothes washer. An experiment is designed to measure the effect of detergent brand and washing cycle time on the amount of dirt removed from standard household laundry loads. Four brands of detergent (A,B,C,D) and four levels of washing cycles (18, 20, 22, and 24 minutes) are specifically selected for analysis. 32 standard household laundry loads (having equal weight and dirt) are randomly assigned to the 16 detergent-washing cycle time combinations. The results (in pounds of dirt removed) are: Washing Cycle Time (in Minutes) Brand 18 20 22 24 A 0.11 0.13 0.17 0.17 0.09 0.13 0.19 0.18 B 0.12 0.14 0.17 0.19 0.1 0.15 0.18 0.17 0.08 0.16 0.18 0.2 0.09 0.13 0.17 0.16 0.11 0.12 0.16 0.15 0.13 0.13 0.17 0.17 Perform a Two-way Analysis of Variance with Replication in Excel and output the ANOVA table assuming a 5% level of significance. Choose the correct Excel output.
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