A mail-order catalog firm designed a factorial experiment to test the effect of the size of a magazine advertisement and the adv
ertisement design on the number (in thousands) of catalog requests received. Three advertising designs and two sizes of advertisements were considered. The following data were obtained.
Size of Advertisement
Small Large
A 8 12
12 8
Design B 22 26
14 30
C 10 18
18 14
Test for any significant effects due to type of design, size of advertisement, or interaction. Use the ANOVA procedure for factorial designs to test for any significant effects due to type of design,size of advertisement,or interaction. Use alpha=0.05.
Show your ANOVA result and answer the following:
(a) Is the effect of advertisement size significant (i.e., are averages for advertisement size not the same?)
(b) Is the effect of design significant?
(c) Is the interaction between advertisement size and design significant?
Size of Advertisement
Small Large
A 8 12
12 8
Design B 22 26
14 30
C 10 18
18 14
Test for any significant effects due to type of design, size of advertisement, or interaction. Use the ANOVA procedure for factorial designs to test for any significant effects due to type of design,size of advertisement,or interaction. Use alpha=0.05.
Show your ANOVA result and answer the following:
(a) Is the effect of advertisement size significant (i.e., are averages for advertisement size not the same?)
(b) Is the effect of design significant?
(c) Is the interaction between advertisement size and design significant?
1 answer:
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Answer:
Figure 1: 226
Figure 2: 111
Step-by-step explanation:
For the first figure, you will split it into two rectangles. You would do 28 x 7 for the first rectangle and get 196. Then, you would do 6 x 5 for the second rectangle and get 30. You would then add these two numbers and get the area of 226 ft^{2}}.
For the second figure, you split it into one triangle and two rectangles. For the triangle, you would do 3 x 6 and then divide that by 1/2, since it is a triangle, and you get 9. For the first rectangle, you would do 10 x 7 and you would get 70. For the final rectangle, you would do 8 x 4 and get 32. You would then add all these numbers up and get the area of 111 mm^{2}.
