In marketing children’s products, it is extremely important to produce television commercials that hold the attention of the children who view them. A psychologist hired by a marketing research firm wants to determine whether differences in attention span exist among advertisements for different types of products. A number of children under 10 years of age are asked to watch one 60-second commercial for one of three types of products, and their attention spans are measured in seconds. The results are shown in the accompanying table:
In marketing children’s products, it is extremely important to produce television commercials that hold the attention of the children who view them. A psychologist hired by a marketing research firm wants to determine whether differences in attention span exist among advertisements for different types of products. A number of children under 10 years of age are asked to watch one 60-second commercial for one of three types of products, and their attention spans are measured in seconds. The results are shown in the accompanying table:
Type of Product Advertised
|
Toys/Games |
Food/Candy |
Children’s Clothing |
|
42 |
55 |
30 |
|
45 |
58 |
35 |
|
48 |
52 |
42 |
|
40 |
60 |
32 |
|
50 |
57 |
38 |
a). At 5% level of significance, is there sufficient evidence to conclude that there are differences in the actual average attention span among the three types of product advertised? Show all necessary work.
b). Explain the significance of the Tukey’s analysis and how it works. Explain all aspects of the analysis very carefully.
c). At 5% level of significance, use the Tukey’s multiple comparison method to determine which types of product differ in terms of the actual average attention span.
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