The effects of detergent brand name (factor A in columns) and the temperature of the water (factor B in rows) on the brightness of washed fabrics are being studied. Four brand names and two temperature levels are used; six observations for each combination are examined. The following ANOVA table is produced. ANOVA p-value 4.23005E-11 Source of Variation df 1 Sample Columns Interaction Within 86 126.70 7,73 MS 86 42.23 2.58 1.07 80.17 39.37 2.40 5.16557E-12 0.082 42.91 40 Total 263.34 47 a. Can you conclude that there is interaction between the detergent brand name and the temperature of the water at the 5% significance level? O Yes Picture since the p-value associated with interaction is less than significance level. O No Picture since the p-value associated with interaction is less than significance level. O Yes Picture since the p-value associated with interaction is greater than significance level. O No Picture since the p-value associated with interaction is greater than significance level. b-1. Are you able to conduct tests based on the main effects? O Yes O No

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The effects of detergent brand name (factor A in columns) and the temperature of the water (factor B in rows) on the brightness of
washed fabrics are being studied. Four brand names and two temperature levels are used; six observations for each combination are
examined. The following ANOVA table is produced.
ANOVA
Source of Variation
SS
df
MS
F
p-value
Sample
86
1
86
80.17
4.23005E-11
126.70
42.23
39.37
2.40
Columns
3
5.16557E-12
Interaction
7.73
3
2.58
0.082
Within
42.91
40
1.07
Total
263.34
47
a. Can you conclude that there is interaction between the detergent brand name and the temperature of the water at the 5%
significance level?
O Yes Picture since the p-value associated with interaction is less than significance level.
O NoPicture since the p-value associated with interaction is less than significance level.
O Yes Picture since the p-value associated with interaction is greater than significance level.
O NOPicture since the p-value associated with interaction is greater than significance level.
b-1. Are you able to conduct tests based on the main effects?
O Yes
O No
Transcribed Image Text:The effects of detergent brand name (factor A in columns) and the temperature of the water (factor B in rows) on the brightness of washed fabrics are being studied. Four brand names and two temperature levels are used; six observations for each combination are examined. The following ANOVA table is produced. ANOVA Source of Variation SS df MS F p-value Sample 86 1 86 80.17 4.23005E-11 126.70 42.23 39.37 2.40 Columns 3 5.16557E-12 Interaction 7.73 3 2.58 0.082 Within 42.91 40 1.07 Total 263.34 47 a. Can you conclude that there is interaction between the detergent brand name and the temperature of the water at the 5% significance level? O Yes Picture since the p-value associated with interaction is less than significance level. O NoPicture since the p-value associated with interaction is less than significance level. O Yes Picture since the p-value associated with interaction is greater than significance level. O NOPicture since the p-value associated with interaction is greater than significance level. b-1. Are you able to conduct tests based on the main effects? O Yes O No
b-2. If yes, conduct these tests at the 5% significance level. (You may select more than one answer. Single click the box with the
question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for
a wrong answer. Any boxes left with a question mark will be automatically graded as incorrect.)
O Differences exist in the average brightness of fabrics depending on the temperature of the water.
O Differences do not exist in the average brightness of fabrics depending on the detergent brand name.
O Differences exist in the average brightness of fabrics depending on the detergent brand name.
O Differences do not exist in the average brightness of fabrics depending on the temperature of the water.
Transcribed Image Text:b-2. If yes, conduct these tests at the 5% significance level. (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer. Any boxes left with a question mark will be automatically graded as incorrect.) O Differences exist in the average brightness of fabrics depending on the temperature of the water. O Differences do not exist in the average brightness of fabrics depending on the detergent brand name. O Differences exist in the average brightness of fabrics depending on the detergent brand name. O Differences do not exist in the average brightness of fabrics depending on the temperature of the water.
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