A two-way analysis of variance experiment with interaction was conducted. Factor A had three levels (columns), factor B had five levels (rows), and six observations were obtained for each combination. The results include the following sum of squares terms: SST = 1558 SSA = 1008 SSB = 400 SSAB = 30 a. Construct an ANOVA table. (Round Intermedlate calculations to at least 4 decimal places. Round "MS" to 4 decimal places and "P to 3 decimal places.) ANOVA Source of Variation df MS p-value Rows 0.000 Columns 0.000 Interaction 0.028 Error Total b. At the 1% significance level, can you conciude that there is interaction between factor A and factor 5? O Yes, since the p-value associated with interaction is less than significance level. O Yes, since the p-value associated with interaction is greater than significance level. O No. since the p-value associated with interaction is less than significance level. O No, since the p-value associated with interaction is greater than significance level. c. At the 1% significance level, can you conclude that the factor A means differ? O Yes, since the p-value for factor A is less than significance level. O Yes, since the p-value for factor A is greater than significance level. O No, since the p-value for factor A is less than significance level. O No, since the p-value for factor A is greater than significance level.

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A two-way analysis of variance experiment with interaction was conducted. Factor A had three levels (columns), factor Bhad five levels
(rows), and six observations were obtained for each combination. The results include the following sum of squares terms:
7
ST= 1558 SSA= 1008 SSB= 400 SSAB = 30
a. Construct an ANOVA table. (Round Intermediate calculations to at least 4 decimal places. Round "MS" to 4 decimal places and
"P to 3 decimal places.)
ANOVA
Source of Variation
df
MS
F
p-value
Rows
0.000
Columns
0.000
Interaction
0.028
Error
Total
b. At the 1% significance level, can you conclude that there is interaction between factor A and factor 5?
O Yes, since the p-value associated with interaction is less than significance level.
O Yes, since the p-value associated with interaction is greater than significance level.
O No. since the p-value associated with interaction is less than significance level.
O No, since the p-value associated with interaction is greater than significance level.
c. At the 1% significance level, can you conclude that the factor A means differ?
O Yes, since the p-value for factor A is less than significance level.
O Yes, since the p-value for factor A is greater than significance levei.
O No. since the p-value for factor A is less than significance level.
O No. since the p-value for factor A is greater than significance level.
Transcribed Image Text:A two-way analysis of variance experiment with interaction was conducted. Factor A had three levels (columns), factor Bhad five levels (rows), and six observations were obtained for each combination. The results include the following sum of squares terms: 7 ST= 1558 SSA= 1008 SSB= 400 SSAB = 30 a. Construct an ANOVA table. (Round Intermediate calculations to at least 4 decimal places. Round "MS" to 4 decimal places and "P to 3 decimal places.) ANOVA Source of Variation df MS F p-value Rows 0.000 Columns 0.000 Interaction 0.028 Error Total b. At the 1% significance level, can you conclude that there is interaction between factor A and factor 5? O Yes, since the p-value associated with interaction is less than significance level. O Yes, since the p-value associated with interaction is greater than significance level. O No. since the p-value associated with interaction is less than significance level. O No, since the p-value associated with interaction is greater than significance level. c. At the 1% significance level, can you conclude that the factor A means differ? O Yes, since the p-value for factor A is less than significance level. O Yes, since the p-value for factor A is greater than significance levei. O No. since the p-value for factor A is less than significance level. O No. since the p-value for factor A is greater than significance level.
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