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.
Clothes | Food | Toys |
28 | 38 | 53 |
16 | 41 | 44 |
51 | 42 | 48 |
35 | 52 | 56 |
28 | 47 | 63 |
31 | 42 | 53 |
17 | 34 | 48 |
31 | 43 | 58 |
20 | 57 | 47 |
47 | 51 | |
44 | 51 | |
54 | ||
1-) Complete the ANOVA table. Use 0.05 significance level. (Round the SS and MS values to 1 decimal place and F value to 2 decimal places.)
Source | df | SS | MS | F | p |
Factors | |||||
Error | |||||
Total |
2-) Find the values of mean and standard deviation. (Round the mean and standard deviation values to 3 decimal places.)
Level | N | Mean | StDev |
clothes | |||
food | |||
toys |
3-) Is there a difference in the mean attention span of the children for the various commercials?
The hypothesis of identical means can definitely be________________(rejecet/not. rejecet) there is_________ ( a difference/ no difference) in the mean attention span.
4-) Are there significant differences between pairs of means?
Clothes have a mean attention span of a least ten minutes ________ (above/belove) the other groups.
1)
anova table | |||||
SS | df | MS | F | p-value | |
Between: | 2819.7361 | 2 | 1409.8681 | 23.89 | 0.0000 |
Within: | 1711.1389 | 29 | 59.0048 | ||
Total: | 4530.8750 | 31 |
2)
SUMMARY | |||||
Groups | Count=N | Mean | std dev | ||
Clothes | 9 | 28.556 | 10.737 | ||
Food | 12 | 45.083 | 6.680 | ||
Toys | 11 | 52.000 | 5.459 |
3) The hypothesis of identical means can definitely be_______rejected_________ there is_____a difference ____ in the mean attention span.
4) Clothes have a mean attention span of a least ten minutes ____below __ the other groups.
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