2. A farmer wants to study the effect of letting her Holstein cows, Box Taurus, roam freely compared to keeping them in a small pen. Specically, she wants to know if they are less able to put on weight if they are restricted to a smaller space. She has a sample of 40 young cows of the same size to study. For each of the following scenarios, name the appropriate statistical test she should run and write the appropriate M hypothesis for each (you do not need to include the alternative hypotheses): a. She knows that an average adult cow should weigh 1,300 pounds. So she raises all 40 cows in the small pen and measures their weight (in pounds) once they reach adulthood. The distribution of weights is approximately normally distributed. b. She randomly divides her sample into two even groups and raises one group in the pen and the other group in an open pasture. When they reach adulthood, she records their weights as either \"healthy\" or \"undernourished.\" c. She randomly divides her sample into two even groups and raises one group in the pen and the other group in an open pasture. After the cows reach adulthood, she records the weights (in pounds) of the two groups. Although the raw weight measurements are not normally distributed for either group, the log-transformed weights pass the normality assumption