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 fancy expensive pet shop mix ie 'hermitcrabmix' and crabs fed on home diets (home diets include both cornflakes and cornflakes 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 by 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 significant 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 p-value given by the test? Do we conclude that there is a significant difference? How much, on average, do the crabs in the two groups eat?

It will be great if the command in details to enter in R to obtain the answers is provided as well ! Thanks a lot.

feed weight.g. amount.eaten time.active 1 hermitcrabmix 48.9 4.88 5.5 2 hermitcrabmix 58.0 6.81 3.6 3 hermitcrabmix 58.8 6.32 2.9 4 hermitcrabmix 67.1 5.35 1.1 5 hermitcrabmix 46.3 3.49 5.3 6 hermitcrabmix 28.6 5.09 10.1 7 cornflakes 56.6 7.06 3.8 8 cornflakes 43.6 7.30 6.6 9 cornflakes 61.9 6.29 2.1 10 cornflakes 46.6 10.62 6.0 11 cornflakes 45.1 7.58 6.6 12 cornflakes 60.4 8.56 2.7 13 cornflakesveges 60.0 6.33 2.8 14 cornflakesveges 61.8 5.82 2.3 15 cornflakesveges 57.4 6.13 3.7 16 cornflakesveges 66.8 5.46 0.6 17 cornflakesveges 60.8 6.58 2.4 18 cornflakesveges 61.0 4.91 2.6