Question: 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.Step by Step Solution
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