The photograph shows a lizard native to a Caribbean island near the equator. © Nature Picture Library / Alamy Stock Photo This small lizard lives in tropical vegetation between 1 m to 3 m above the ground. This lizard uses specialised toepads to hold on to the vegetation. A scientist sampled the lizards along a 2 km transect. The toepad area of a front limb of each lizard was measured. The lizards were then released. A hurricane struck the island with the highest winds ever recorded. The scientist repeated the sampling method along the same transect after the hurricane. The results of this investigation are shown below. The scientist analysed the data with a $$\(t\)$$ test using the formula: Where: $$\(\bar{x}\)$$ is the mean value for each treatment n is the number of samples for each treatment $$\(\left(S_{A}\right)^{2}=0.095\)$$ and $$\(\left(S_{B}\right)^{2}=0.115\)$$ (i) Calculate the value of $$\(t\)$$. (3) Answer .......................................................... .. The table shows the critical values of $$\(t\)$$ for different degrees of freedom. The number of degrees of freedom $$\(=\left(n_{A}-1\right)+\left(n_{B}-1\right)\)$$ Describe the conclusions that can be drawn from this investigation. Use the information in the table to support your answer. (2) ................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................
Exam No:wbi16-01-que-20240124. Year:2024 Question No:3(d)(ii)
Answer:
- correct numerator (1)
- correct substitution of given \(\left(S_{A}\right)^{2}\) and \(\left(S_{B}\right)^{2}\) divided by 9/denominator (1)
- correct answer (1)
- the calculated value of \(t\) (1.96) is less than the critical value of 2.12 (1)
- therefore accept the null hypothesis there is no difference between the surface area (of toepads) before and after the hurricane (1)
- correct substitution of given \(\left(S_{A}\right)^{2}\) and \(\left(S_{B}\right)^{2}\) divided by 9/denominator (1)
- correct answer (1)
- the calculated value of \(t\) (1.96) is less than the critical value of 2.12 (1)
- therefore accept the null hypothesis there is no difference between the surface area (of toepads) before and after the hurricane (1)
Knowledge points:
CH5 – Energy Flow, Ecosystems and the Environment
Solution:
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