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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