In: Statistics and Probability
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 |
35 | 42 | 56 |
32 | 39 | 42 |
34 | 39 | 53 |
35 | 55 | 60 |
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 |
3-)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-)there a difference in the mean attention span of the children for the various commercials?
The hypothesis of identical means can definitely be ___________ . There is ________ 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 ________ the other groups.
Using Minitab: One way ANOVA:
First Enter the Data in Minitab:
Steps: For One Way ANOVA:
Stat-->ANOVA-->One Way ANOVA(Ustacked)
Here unstacked means we are using data of different column of Groups.
Select all groups in Responses Box and click on Comparison for Pairwise comparisons.
Then tick on Tuke's for pairwise comparisons.
Output:
Complete ANOVA table:
(1):
(2):
3): Yes, there a difference in the mean attention span of the children for the various commercials.
The hypothesis of identical means can definitely be ___rejected___ . There is _a significant difference_ in the mean attention span.
Pairwise Comparison:
which lines(intervals) not contains zero, it is means there is a significant difference between the groups.
(4): Yes, there significant differences between pairs of means.
Clothes have a mean attention span of a least ten minutes ____Toys____ the other groups.