2(a)(i)Statistical Tests BiologyEasy2 marks
The Galápagos Islands are a group of islands in the Pacific Ocean that are approximately 900 km from Ecuador in South America. Charles Darwin developed his theory of evolution by natural selection after visiting the Galápagos Islands in the 1830s.
Finches are small birds that are commonly found on the Galápagos Islands.
Some biologists studied one species of finch, Geospiza conirostris, living on Genovesa Island in the Galápagos. Genovesa Island is a small island with no mountains.
Figure 2.1 shows G. conirostris.
The biologists studied several breeding pairs of G. conirostris. Adult male G. conirostris sing a song to attract females for mating. Female G. conirostris do not sing.
The biologists noticed that adult male G. conirostris could be separated into two groups based on their song type. Adult male G. conirostris sing either song type A or song type B.
At the start of the investigation, the biologists caught the birds in a mist net.
Figure 2.2 shows a bird caught in a mist net. The mist net does not harm the bird.
For each male G. conirostris caught in the mist net, the biologists:
- attached a coloured ring to the leg of the bird so that it could be easily identified in the future
- measured the mass of the bird
- measured the depth, width and length of the bill of the bird
- released the bird back into the ecosystem
- observed the song type and other behaviours of the bird over a period of four months.
Table 2.1 shows the data from the investigation.
| song type of male G. conirostris | number of birds | mean mass / g | mean bill depth / mm | mean bill width / mm | mean bill length / mm |
|---|---|---|---|---|---|
| song type A | 11 | 25.85 | 10.79 | 9.99 | 15.47 |
| song type B | 13 | 24.96 | 11.02 | 10.23 | 14.55 |
Statistical analysis showed that there was no significant difference between the mean mass, the mean bill depth and mean bill width of male G. conirostris with song type A and male G. conirostris with song type B.
The biologists then carried out a t-test to compare the mean bill lengths of male G. conirostris with song type A and male G. conirostris with song type B.
State two conditions of the data that allowed the biologists to carry out a t-test.
Answer
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