In an effort to promote a new product, a marketing firm asks participants to rate the effectiveness of ads that varied by length (short, long) and by type of technology (static, dynamic, interactive). Higher ratings indicated greater effectiveness. Source of Variation SS df MS F Length 15 Technology Length × Technology 154 Error 570 114 Total 869 (a) Complete the F-table and make a decision to retain or reject the null hypothesis for each hypothesis test. (Assume experimentwise alpha equal to 0.05.) Source of Variation SS df MS F Length 15 Technology 130 Correct: Your answer is correct. Length × Technology 154 Error 570 114 356 Total 869
Lenght has two levels i.e. r = 2 and Technology has 3 levels i.e c = 3.
Data Table:
Source of Variation | SS | DF | MS | F | p-value |
Length | 15 | 1 | 15 | 3 | 0.0859 |
Technology | 130 | 2 | 65 | 13 | 0 |
Length × Technology | 154 | 2 | 77 | 15.4 | 0 |
Error | 570 | 114 | 5 | ||
Total | 869 | 119 |
Conclusion:
Fail to reject the null hypothesis when it comes to Length.
Reject the null hypothesis when it comes to Technology.
Reject the null hypothesis when it comes to interaction between Lenght and Technology.
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