In: Statistics and Probability
A food company is concerned about recent criticism of the sugar content of their children's cereals. The company would like to know if there is a difference between the sugar content of children's cereals and adults' cereals. The data show the sugar content (as a percentage of weight) of several national brands of children's and adults' cereals.
| Children's cereal | Adults' cereal |
| 41.3 | 24.3 |
| 57.5 | 26.5 |
| 48.4 | 4.3 |
| 41.3 | 8.2 |
| 54.2 | 1.7 |
| 48.9 | 22.8 |
| 51.7 | 17.3 |
| 43.6 | 10.2 |
| 42.7 | 21.5 |
| 41.4 | 6.9 |
| 46.3 | 9.5 |
| 41.7 | 14.9 |
| 38.3 | 17.8 |
| 56 | 13.4 |
| 45.9 | 4 |
| 51.7 | 16 |
| 39.8 | 4.6 |
| 55.3 | 1.9 |
| 42.7 | 1.1 |
| 31.1 | 6.1 |
| 10.2 | |
| 0.6 | |
| 3.9 | |
| 4.8 | |
| 8.8 | |
| 4.1 | |
| 15.6 | |
| 5.9 | |
| 18.6 | |
| 13.1 |
c) Find the 95% confidence interval for the positive difference in means.
The 95% confidence interval is ___ grams, ____ grams).


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