SCENARIO 11-12
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 α = 0.05 level of significance for all inferences.

-Referring to Scenario 11-11,what assumption(s)need(s)to be made in order to conduct the test for differences between the mean charges of foreign and USA medical school graduates?
A)There is no significant interaction effect between the area of primary specialty and the medical school on the doctors' mean charges.
B)The charges in each group of doctors sampled are drawn from normally distributed populations.
C)The charges in each group of doctors sampled are drawn from populations with equal variances.
D)All of the above are necessary assumptions.

Question

SCENARIO 11-12
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 α = 0.05 level of significance for all inferences.

-Referring to Scenario 11-11,what assumption(s)need(s)to be made in order to conduct the test for differences between the mean charges of foreign and USA medical school graduates?
A)There is no significant interaction effect between the area of primary specialty and the medical school on the doctors' mean charges. 
B)The charges in each group of doctors sampled are drawn from normally distributed populations. 
C)The charges in each group of doctors sampled are drawn from populations with equal variances. 
D)All of the above are necessary assumptions.

Quizplus · Accepted Answer

To conduct a test for differences between means, especially in a scenario involving multiple groups and factors, it's essential to assume no significant interaction effects (A), normal distribution of data (B), and equal variances across groups (C). These assumptions ensure the validity of the statistical tests applied.

SCENARIO 11-12 The Marketing Manager of a Company Producing a New Cereal