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 37 46 59 31 40 45 36 47 47 35 58 53 28 47 63 31 42 53 17 34 48 31 43 58 20 57 47 47 51 44 51 54
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 |
| 37 | 46 | 59 |
| 31 | 40 | 45 |
| 36 | 47 | 47 |
| 35 | 58 | 53 |
| 28 | 47 | 63 |
| 31 | 42 | 53 |
| 17 | 34 | 48 |
| 31 | 43 | 58 |
| 20 | 57 | 47 |
| 47 | 51 | |
| 44 | 51 | |
| 54 | ||
Required:
a. What are the null and alternate hypotheses?
b. Complete the ANOVA table. Use 0.05 significance level. (Round the SS and MS values to 1 decimal place, F value, p-value, and F crit to 2 decimal places. Leave no cells blank — be certain to enter "0" wherever required. Round the df values to nearest whole number.)
| Source of variation | SS | df | MS | F | p-value | F crit |
| Treatment | ||||||
| Error | ||||||
| Total |
c. What is the test statistic? (Round your answer to 4 decimal places.)
d. What is the p-value? (Round your answer to 4 decimal places.)
e. What is your decision regarding the null hypothesis?
f. Interpret the result.
g. Compute the 95% confidence
| (Smaller mean - Larger mean) | (Larger mean - Smaller mean) | |
| The interval for the difference between Clothes and food is from | ||
| The interval for the difference between Clothes and Toys is from | ||
| The interval difference between Food and Toys is from |
h. Which pairs of means are statistically different?
multiple choice
-
Clothes – Food
-
Clothes – Toys
-
Food – Toys
-
All of the above.
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