2. A fish hatchery had two pools growing tilapia. At regular intervals, the fish were sampled in order to track various growth metrics. The caretaker noticed that the fish in the two pools seemed to differ in size and weight, even though all the fish in both pools were hatched at the same time. They decided to use hypothesis testing to test this notion. The caretaker took two independent, random samples of fish. The Pool A sample of 35 fish had a mean weight of 116 grams and standard deviation of 21.7 grams. The Pool B sample of 32 fish had a mean weight of 110 grams with standard deviation 18.4 grams. Conduct and interpret a hypothesis test to determine whether the population mean weight of the tilapia in Pool A is different from the tilapia in Pool B. Use an = 0.05 significance level. Does this result support the caretaker's idea that the tilapia differ in weight between the two pools? Use the Pool A fish as population 1.