A study of the effect of television commercials on 12-year-old children measured
ID: 3312306 • Letter: A
Question
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 27 44 61 22 49 64 46 37 57 35 56 48 28 47 63 31 42 53 17 34 48 31 43 58 20 57 47 47 51 44 51 54 Click here for the Excel Data File 1. Complete the ANOVA table. Use .05 significance level. (Round the SS and MS values to 1 decimal place and F value to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required.) 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. There is in the mean attention span. 4. Are there significant differences between pairs of means? Clothes have a mean attention span of at least ten minutes the other groups.
Explanation / Answer
Result:
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.
Click here for the Excel Data File 1. Complete the ANOVA table. Use .05 significance level. (Round the SS and MS values to 1 decimal place and F value to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required.)
ANOVA table
Source
df
SS
MS
F
p-value
Treatment
2
3,447.1
1,723.5
32.15
0.0000
Error
29
1,554.4
53.6
Total
31
5,001.5
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
n
Mean
Std. Dev
Clothes
9
28.556
8.734
Food
12
46.167
7.095
Toys
11
54.636
6.249
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. There is in the mean attention span.
Ho is rejected.
There is significant mean difference in the mean attention span.
4. Are there significant differences between pairs of means? Clothes have a mean attention span of at least ten minutes the other groups.
Yes, there is significant differences between pairs of means.
Clothes have a mean attention span of at least ten minutes less than the other groups.
Tukey simultaneous comparison t-values (d.f. = 29)
Clothes
Food
Toys
28.6
46.2
54.6
Clothes
28.6
Food
46.2
5.46
Toys
54.6
7.93
2.77
critical values for experimentwise error rate:
0.05
2.48
0.01
3.16
ANOVA table
Source
df
SS
MS
F
p-value
Treatment
2
3,447.1
1,723.5
32.15
0.0000
Error
29
1,554.4
53.6
Total
31
5,001.5
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