Analysis of Variance: Chapter 11

Analysis of Variance

Instructions: Please provide your ANOVA table and justify your conclusions based on your F test results.

1. Analysis of Variance A manufacturer of pens has hired an advertising agency to develop an advertising campaign for the upcoming holiday season. To prepare for this project, the research director decides to initiate a study of the effect of advertising on product perception. Advertisement A greatly undersells the pen’sΒ  characteristics.Β Advertisement B slightly undersells the pen’s characteristics. Advertisement C slightly oversells the pen’s characteristics. Advertisement D greatly oversells the pen’s characteristics. A sample of 24 adult respondents, taken from a larger focus group, is randomly assigned to the four advertisements. The respondents are then asked to rate the pen from 1 to 7 (lowest to highest) on the product characteristic scales of appearance, durability, and writing performance. The combined scores of three ratings for the 24 respondents are as follows. At the 0.05 level of significance, is there evidence of a difference in the mean rating of the pens following exposure to four advertisements?

A B C D
15 16 8 5
18 17 7 6
17 21 10 13
19 16 15 11
19 19 14 9
20 17 14 10

Β 

2. The computer operations department had a business objective of reducing the amount of time to fully update each subscriber’s set of messages in a special secured email system. An experiment was conducted in which 40 subscribers were selected with four different messaging systems and two connection media types used. The subscribers were randomly assigned so that there were five subscribers in each of the eight combinations of the two factors – messaging system and media used. The update’s times are as follows. Use Excel to indicate the importance of each of the two factors and the interaction between them on the update time.Β 

Β  System 1 System 2 System 3 System 4
Cable 45.6 41.7 35.3 30.5
49.0 42.8 37.7 31.3
41.8 40.0 41.0 39.6
35.6 39.6 28.7 25.4
43.4 39.0 31.8 23.7
Fiber 44.1 37.9 43.3 43.8
40.8 41.1 40.0 40.5
46.9 35.8 43.1 44.2
51.8 45.3 39.6 42.1
48.5 40.2 33.2 35.4

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