Brand Temp. Equate Kroger Alka-Seltzer Cold 85.87 75.98 100.11 78.69 87.66 99.65

Question

Brand Temp. Equate Kroger Alka-Seltzer Cold 85.87 75.98 100.11 78.69 87.66 99.65 76.42 85.71 100.83 74.43 86.31 94.16 Hot 21.53 24.1 23.8 26.26 25.83 21.29 24.95 26.32 20.82 21.52 22.91 23.21 Time required for pain-relief tablets to dissolve in a glass of water were recorded for two treatment variables: Brand Name (Equate, Kroger, Alka-Selzer) and temperature of the water (Hot, Cold). In Excel, run a Two-way Analysis of Variance with Replication at a 5% level of significance. Is there a significant interaction between brand of pain reliever and water temperature? Fail to Reject Ho with a p-value of 0.0000214 thus an interaction does not exist between brand ofpain reliever and water temperature C C Reject Ho with a p-value of 2.14 thus an interaction exists between brand of pain reliever and water temperature Fail to Reject Ho with a p-value of 2.14 thus an interaction does not exist between brand of pain reliever and water temperature. Reject Ho with a p-value of 0.0000214 thus an interaction exists between brand of pain reliever and water temperature.

Explanation / Answer

applying two way ANOVA on abvoe data:

as p vlaue for interaction is less than 0.05 level ; correct option is :

reject HO with a p value of 0.0000214 thus an interaction exists between........

Source of Variation SS df MS F P-value temp. 24274.85 1 24274.85 1986.507 0.0000000 brand 356.0027 2 178.0014 14.56656 0.0001728 Interaction 506.3104 2 253.1552 20.7167 0.0000214 Within 219.9576 18 12.21986 Total 25357.12 23

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