Suppose that the marketing managers perform a one-way, independent-samples ANOVA test to decide if there are differences in the mean daily sales arising from the four modes of advertisement. (So, they're assuming that the only difference among the four communities is the mode of advertisement used in it.) Such a test uses the following statistic. Variation between the samples F = Variation within the samples For the information in the chart above, F =3.39. (a) Give the numerator degrees of freedom of this F statistic. ? (b) Give the denominator degrees of freedom of this F statistic. |(c) Using the 0.05 level of significance, can the marketing managers conclude that the mean daily loYes O No sales arising from at least one of the modes of advertisement differs from the others?
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.
Jointsoft is a great over-the-counter arthritis medication, but who will ever know about it? Unfortunately, many people with arthritis tend to be elderly and rather immobile, so advertisers of arthritis medications face limitations in ways to get their messages across. Currently, their best modes of advertisement are commercials on daytime TV, advertisements in select magazines, fliers in convalescent homes, and advertisements on certain Web pages.
Marketing managers for Jointsoft are investigating these four modes of advertisement in four small communities (with a different
| Groups | Sample mean | Sample variance | |
|---|---|---|---|
| TV | 38 | 573.0 | 1777.7 |
| Magazines | 38 | 554.3 | 2761.0 |
| Fliers | 38 | 584.0 | 2445.4 |
| Web pages | 38 | 587.3 | 2943.2 |
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