The marketing manager of a company producing a new cereal aimed for children wants to examine the
Question:
The marketing manager of a company producing a new cereal aimed for children wants to examine the effect of the color and shape of the box's logo on the approval rating of the cereal. He combined 4 colors and 3 shapes to produce a total of 12 designs. Each logo was presented to 2 different groups (a total of 24 groups) and the approval rating for each was recorded and is shown below. The manager analyzed these data using the ? = 0.05 level of significance for all inferences.
Analysis of Variance
Requirements:
a) What is the sum of squares due to interaction?
b) How many degrees of freedom does 'Error' have?
c) How many treatment combinations are there in the experiment?
d) Perform the F-test on 'Shapes.' Is the factor 'Shapes' significant?
e) Perform the F-test on 'Interaction.' Is the factor 'Interaction' significant?
Basic Business Statistics Concepts and Applications
ISBN: 978-0132168380
12th edition
Authors: Mark L. Berenson, David M. Levine, Timothy C. Krehbiel