Problem 3. For this question we will use the hermit crab data that we used in the lab. We want to test whether there is a difference between hermit crabs fed on the fancv expensive pet shop mix ie 'hermitcrabmix' and crabs fed on home diets {home diets include both cornflakes and cornfiakes plus vegies). We are interested in whether there are differences in terms of their weight or in terms of the amount they eat. What would be the best statistical test to use? Test whether there is a difference in weights between the crabs fed on the pet shop diet vs the ones fed on a home diet. What is the p-value given bv the test? Do we conclude that there is a significant difference? Now test whether the crabs fed on the pet shop diet have a greater weight than the ones fed on a home diet+ What is the p-value given by the test? Do we conclude that there is a signicant difference? Now test whether the crabs fed on the pet shop diet eat a different amount than the ones fed on a home diet. What is the pvalue given by the test? Do we conclude that there is a signicant difference? How much, on average, do the crabs in the two groups eat