A mail-order catalog firm designed a factorial experiment totest the effect of the size of a magazine advertisement and theadvertisement design on the number of catalog requests received(data in thousands). Three advertising designs and twodifferent-size advertisements were considered. The data obtainedfollow.
| Size ofAdvertisement |
|---|
| Small | Large |
|---|
| Design | A | 8 | 12 |
|---|
| 12 | 8 |
| B | 22 | 26 |
|---|
| 14 | 30 |
| C | 10 | 18 |
|---|
| 18 | 14 |
Use the ANOVA procedure for factorial designs to test for anysignificant effects due to type of design, size of advertisement,or interaction. Use α = 0.05.
Find the value of the test statistic for type of design. (Roundyour answer to two decimal places.)
Find the p-value for type of design. (Round your answerto three decimal places.)
p-value =
State your conclusion about type of design.
Because the p-value ≤ α = 0.05, type of designis not significant.Because the p-value > α =0.05, type of design issignificant.     Because thep-value > α = 0.05, type of design is notsignificant.Because the p-value ≤ α = 0.05, typeof design is 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 youranswer to three decimal places.)
p-value =
State your conclusion about size of advertisement.
Because the p-value ≤ α = 0.05, size ofadvertisement is not significant.
Because the p-value ≤ α = 0.05, size ofadvertisement is significant.   Â
Because the p-value > α = 0.05, size ofadvertisement is not significant.
Because the p-value > α = 0.05, size ofadvertisement is significant.
Find the value of the test statistic for interaction betweentype of design and size of advertisement. (Round your answer to twodecimal places.)
Find the p-value for interaction between type of designand size of advertisement. (Round your answer to three decimalplaces.)
p-value =
State your conclusion about interaction between type of designand size of advertisement.
Because the p-value > α = 0.05, interactionbetween type of design and size of advertisement is significant
.Because the p-value > α = 0.05,interaction between type of design and size of advertisement is notsignificant.    Â
Because the p-value ≤ α = 0.05, interactionbetween type of design and size of advertisement is notsignificant
.Because the p-value ≤ α = 0.05, interactionbetween type of design and size of advertisement issignificant.
