- The weights, in grams, of mice are normally distributed. A biologist takes a random sample of 10 mice. She weighs each mouse and records its weight.
The ten mice are then fed on a special diet. They are weighed again after two weeks.
Their weights in grams are as follows:
| Mouse | A | \(B\) | C | D | \(E\) | \(F\) | G | \(H\) | \(I\) | \(J\) |
| Weight before diet | 50.0 | 48.3 | 47.5 | 54.0 | 38.9 | 42.7 | 50.1 | 46.8 | 40.3 | 41.2 |
| Weight after diet | 52.1 | 47.6 | 50.1 | 52.3 | 42.2 | 44.3 | 51.8 | 48.0 | 41.9 | 43.6 |
Stating your hypotheses clearly, and using a \(1 \%\) level of significance, test whether or not the diet causes an increase in the mean weight of the mice.