An advertising company evaluated three types of television ads for a new low-cost subcompact automobile: visual-appeal ads, budget-appeal ads, and feature-appeal ads. To control for age differences, the company randomly selected viewers from four age groups to evaluate the persuasiveness of the ads (measured on a scale ranging from 1 to 10, with 1 being the lowest level of persuasion and 10 the highest). Within each age group, each of three viewers was randomly assigned to view one of the three types of ads. The sample persuasion scores are reproduced in the following table and processed as shown in the accompanying computer output.

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a. Identify the blocks and treatments in this randomized-blocks design.
b. Complete the ANOVA table for the data set given.
c. Do the data provide sufficient evidence to indicate significant differences among rhe persuasion scores for the three types of ads?
d. Using a confidence interval of the form

where v is the error degrees of freedom, find a 99% confidence interval for the true difference in average output between the visual-appeal and budget-appeal ads.
e. Repeat part (d) for visual-appeal and feature-appeal ads.
f. Repeat part (d) for budget-appeal and feature-appeal ads.
g. Based on your results from parts (b)-(f), what do you conclude about the average persuasion scores for the different types of ads?

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Type of Ad Viewer Budget Visual Appeal (V Feature Age Appeal (B) Appeal (F) 18-25 Years 26-35 Years 36-45 Years 46 and Older 10 10 CLASS LEVEL INFORMATION Class Levels AD AGE Values BF V 18-25 26-35 36-45 45 Number of Observations Read 12 Number of Observations Used 12 Dependent Variable: SCORE DF Sum of Squares Mean Square F Value Pr> F Model Error Corrected Total 5 50.08333333 10.01666667 0.0040 11 54 91666667 R-Square Coeff Var Root MSE SCORE Mean 0.911988 12.67098 0.897527 7083333 Source DF AD AGE Type I SS 43.16666667 Mean Square F Value Pr> F 21.58333333 3 6.91666667 2 30555556 Source F Type lll SS AD AGE Mean Square F Value Pr>F 43.16666667 21.58333333 6.91666667 2.30555556 SCORE Level of AD Mean 9.00000000 0.81649658 4.50000000 0.57735027 Std Dey 4 7.75000000 1.70782513 SCORE Level of AGE 18-25 26-35 36-45 45 Mean Std Dev 3 1.52752523 3 633333333 251661148 7.00000000 264575131 2.88675135 6.66666667 3 3 8333333332 12 72