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6) Consider the partially completedtwo-way ANOVA summary table. Determine the mean square error for this ANOVA procedure. Source Sum of Squares Degrees of Freedom Mean

6)

Consider the partially completedtwo-way ANOVA summary table. Determine the mean square error for this ANOVA procedure.

Source Sum of Squares Degrees of Freedom Mean Sum of Squares F
Factor B 2
Factor A 600 200
Interaction 144
Error 384 12
Total 1,288

23

A.32B.21C.26D.43

7)A bank would like to determine if a difference exists in the average credit score between residents of threestates, and also investigate if age plays a role in credit score. The credit scores from a random sample of residents from each state was recorded and residents were categorized as being under 40 years old or 40 years and older. Atwo-way ANOVA was conducted using a=0.05 with Factor A assigned the state residence and Factor B assigned the age group. Determine the number of replications for thistwo-way ANOVA procedure. LOADING... Click the icon to view the summarized ANOVA table.

ANOVA
Source of Variation SS df MS F P-value F crit
Sample 14400 1 14400

4.728063

0.037692

4.170877

Columns 24414 2 12207 4.008019 0.028663 3.31583
Interaction 8272.667 2 4136.333 1.358114 0.272502 3.31583
Within 91369.33 30 3045.644
Total 138456 35

A.6B.30C.2D.1

8)A bank would like to determine if a difference exists in the average credit score between residents of threestates, and also investigate if age plays a role in credit score. The credit scores from a random sample of residents from each state was recorded and residents were categorized as being under 40 years old or 40 years and older. Atwo-way ANOVA was conducted using alphaequals=0.05 with Factor A assigned the state residence and Factor B assigned the age group. Determine a conclusion for this ANOVA procedure. LOADING... Click the icon to view the summarized ANOVA table. A.)The interaction test statistic is more than the criticalvalue; therefore, reject the null hypothesis and conclude that Factors A and B interact.B.)The interaction test statistic is more than the criticalvalue; therefore, do not reject the null hypothesis and conclude that Factors A and B interact.C.)The interaction test statistic is less than the criticalvalue; therefore, do not reject the null hypothesis and can conclude that Factors A and B do not interact.D.)The interaction test statistic is less than the criticalvalue; therefore, reject the null hypothesis and can conclude that Factors A and B do not interact.

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