Question

3. An advertising firm wants to determine the effects of the color of a magazine advertisement on the response of magazine readers. A random sample of readers is shown ads of four different colors, (Blue, Green, Yellow, Red) and three different sizes, (Small, Medium, Large.) The readers were asked to rate the ads from 1 to 12. The advertising firm felt that the size of the ad might make a difference, so they made sure that each color had an equal chance to be matched with each ad size. They weren’t so interested in the ad size; they just didn’t want the ad size to mask any differences due to the ad color.

Color: Blue,Blue,Blue,Green,Green,Green,Yellow,Yellow,Yellow,Red,Red,Red

Size: Small,Medium,Large, Small,Medium,Large, Small,Medium,Large, Small,Medium,Large

Rating: 2,3,5,3,5,6,3,6,7,8,9,12

Use a 5% significance level, α=0.05 for all hypothesis tests and confidence intervals. Conduct the appropriate analysis.

3.1 In your own words state the null and alternative hypothesis statements for the factor of interest.

3.2 What can we conclude about the factor of interest?

3.3 If appropriate, create Tukey simultaneous 95 percent confidence intervals and make pairwise comparisons if appropriate. If not appropriate, state why we would not make pairwise comparisons.

Answer 1