Question

You may need to use the appropriate technology to answer this question Am order Catalog firm designed a factorial experiment to test the effect of the size of a magazine advertisement and the advertisement design on the number of catalog requests received (data in thousands). Three advertising designs and two different advertisements were considered. The data obtained follow Size of Advertisement Large Design 0.05. Use the ANOVA procedure for factorial designs to test for any significant effects due to type of design, size of advertisement, or interaction Use Find the value of the text statistics for type of design (Round your answer to two decimal places) Find the p value for type of design (Round your answer to three decimal places) p-value State your conclusion about type of design Because the value 0.05, type of design is not significant Because the p-values 0.05, type of design is significant Because the value > 0.05, type of design is significant Because the p-value > 0.05, type of design is not significant Find the war of the best statistic for size of advertisement (Round your answer to two decimal places)

Answer 1

0 Test statistic for type of design =[10.75 * p-value = 0.010 * Because the p-value <a=0.05, type of design is significant. [option(ii)] © Test Statistie for size of advertisement =[3.00] * P-value = 10.134) * Beause the p-value >2=0.05, size of advertisement is not significant. [option (iii)] © Test statistic for interaction = 3.00 * p-value = 0.125 * Beause the p-value > =0.05, interaction between type of denign and size of advertisement is not significant. [ option (iii)]

ANOVA Table:

3rows x 2 columns MS P ANOVA Summary Source SS Rows 344 Columns 48 172 10.75 0.0104 48 3 0.134 rxc 96 - 3 0.125 Error 96 Total 584