Homework SourseA study of the effect of television commercials on 12yearold
A study of the effect of television commercials on 12-year-old children measured their attention span, in seconds. The commercials were for clothes, food, and toys. At the .05 significance level is there a difference in the mean attention span of the children for the various commercials? Are there significant differences between pairs of means? Do all three comparisons and show your work. PLEASE SHOW WORK!
CLOTHES
FOOD
TOYS
26
45
60
21
48
51
43
43
43
35
53
54
28
47
63
31
42
53
17
34
48
31
43
58
20
57
47
47
51
51
| CLOTHES | FOOD | TOYS |
| 26 | 45 | 60 |
| 21 | 48 | 51 |
| 43 | 43 | 43 |
| 35 | 53 | 54 |
| 28 | 47 | 63 |
| 31 | 42 | 53 |
| 17 | 34 | 48 |
| 31 | 43 | 58 |
| 20 | 57 | 47 |
| 47 | 51 | |
| 51 | ||
Solution
We use ANOVA here and excel is ued to do the calculations.
Since p value is < 0.05, we reject the null hypothesis and conclude that atleast one mean is differemnt.
| One factor ANOVA | |||||
| Mean | n | Std. Dev | |||
| 28.0 | 9 | 8.14 | CLOTHES | ||
| 45.9 | 10 | 6.28 | FOOD | ||
| 52.6 | 11 | 5.89 | TOYS | ||
| 43.0 | 30 | 12.26 | Total | ||
| ANOVA table | |||||
| Source | SS | df | MS | F | p-value |
| Treatment | 3,130.55 | 2 | 1,565.277 | 34.32 | 3.84E-08 |
| Error | 1,231.45 | 27 | 45.609 | ||
| Total | 4,362.00 | 29 | |||
