Question: A mail-order catalog firm designed a factorial experiment to test the effect of the size of a magazine advertisement and the advertisement design on the
A mail-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-size advertisements were considered. The data obtained follow.
| Size of Advertisement | |||
| Small | Large | ||
| Design | A | 8 | 12 |
| 12 | 8 | ||
| B | 21 | 27 | |
| 13 | 31 | ||
| C | 11 | 17 | |
| 19 | 13 |
Use the ANOVA procedure for factorial designs to test for any significant effects due to type of design, size of advertisement, or interaction. Use = 0.05.
Find the value of the test statistic 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 p-value > = 0.05, type of design is significant.
-Because the p-value = 0.05, type of design is significant.
-Because the p-value > = 0.05, type of design is not significant.
-Because the p-value = 0.05, type of design is not significant.
Find the value of the test statistic for size of advertisement. (Round your answer to two decimal places.)
__________
Find the p-value for size of advertisement. (Round your answer to three decimal places.)
p-value = __________
State your conclusion about size of advertisement:
-Because the p-value > = 0.05, size of advertisement is not significant.
-Because the p-value = 0.05, size of advertisement is not significant.
-Because the p-value > = 0.05, size of advertisement is significant.
-Because the p-value = 0.05, size of advertisement is significant.
Find the value of the test statistic for interaction between type of design and size of advertisement. (Round your answer to two decimal places.)
__________
Find the p-value for interaction between type of design and size of advertisement. (Round your answer to three decimal places.)
p-value = __________
State your conclusion about interaction between type of design and size of advertisement:
-Because the p-value > = 0.05, interaction between type of design and size of advertisement is not significant.
-Because the p-value > = 0.05, interaction between type of design and size of advertisement is significant.
-Because the p-value = 0.05, interaction between type of design and size of advertisement is not significant.
-Because the p-value = 0.05, interaction between type of design and size of advertisement is significant.
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