Shank’s Inc., a nationwide advertising firm, wants to know whether the size of an dvertisement and the color of the advertisement make a difference in the response of magazine readers. A random sample of readers is shown ads of four different colors and three different sizes. Each reader is asked to give the particular combination of size and color a rating between 1 and 10. Assume that the ratings follow the normal distribution. The rating for each combination is shown in the following table (for example, the rating for a small red ad is 2). Is there a difference in the effectiveness of an advertisement by color and by size? Use the .05 level of significance
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Question No. 05:
Shank’s Inc., a nationwide advertising firm, wants to know whether the size of an dvertisement and the color of the advertisement make a difference in the response of magazine readers. A
random sample of readers is shown ads of four different colors and three different sizes. Each reader is asked to give the particular combination of size and color a rating between 1 and 10.
Assume that the ratings follow the
Is there a difference in the effectiveness of an advertisement by color and by size? Use the .05 level of significance.
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