a) Which hypothesis testing method can be used to compare the mean size of the two populations? Perform the test for α = 0.01. How does result of this test help the researchers to decide if they can classify these fish species based on their sizes?
Two species of fish have similar phenotypes to each other, researchers wonder if they can classify these fish species based on their sizes. One species has mean size of 10cm, with standard deviation of 1. The other species has mean size of 12cm, with standard deviation of 2. Size of 15 fish from each species were measured.
a) Which hypothesis testing method can be used to compare the mean size of the two populations? Perform the test for α = 0.01. How does result of this test help the researchers to decide if they can classify these fish species based on their sizes?
b) What is the power of the test? How does power of the test help the researchers to decide if they can classify these fish species based on their sizes?
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