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 D 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. 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 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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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 В 0.12 0.14 0.17 0.19 0.1 0.15 0.18 0.17 C 0.08 0.16 0.18 0.2 0.09 0.13 0.17 0.16 D 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. ANOVA Source of SS df MS P-value F crit Variation Sample 0.000413 3 0.000138 0.785714 0.519244 3.238872 Columns 0.027338 0.009113 52.07143 1.78E-08 3.238872 Interaction 0.002337 0.00026 1.484127 0.235118 2.537667 Within 0.0028 16 0.000175 Total 0.032888 31

ANOVA
Source of
SS
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
5E-05
0.27907
0.936042
2.99612
Within
0.00215
12
0.000179
Total
0.011063
23
ANOVA
Source of
S
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
SS
df
MS
F
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

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