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Practice Problems 1. A business executive asks her secretary to call 3 different travel agents and find out what price they can get on tickets of 5 airlines to a specified destination. The secretary gets the following information: Travel Airline Agent 1 2 3 4 5 1 128 121 159 116 171 2 123 113 158 106 165 3 121 111 166 102 150 At the 0.05 level of significance, is there a significant difference in ticket prices among travel agents? Airlines? [ Hint: SSTotal = 8408. ] 2. A two-factor analysis of variance experiment was performed with I = 2, J = 3, and K = 4 ( a 2 × 3 factorial experiment with 4 replicates ) . ANOVA table: Source SS DF MS F Factor A 4 _____ _____ _____ Factor B 18 _____ _____ _____ Interaction 12 _____ _____ _____ Error _____ _____ _____ Total 70 _____ a) Complete the ANOVA table. b) Conduct the tests of factor interaction and main effects, if appropriate, each at a 5% level of significance.

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3. The partially complete ANOVA table given here is for a two-factor factorial experiment with replicates. ANOVA table: Source SS DF MS F Factor A _____ 3 0.75 _____ Factor B 0.60 1 _____ _____ Interaction _____ _____ _____ _____ Error 2.40 _____ _____ Total 6.15 23 a) Complete the ANOVA table.
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