A biologist investigates the effect of a new food on Takahe male birds. Eight birds are weighed (in kg). They are then fed the new food for 14 days and weighed again.

Let us assume that the weight gains are normally distributed.

Test, at the 2.5% significance level, to investigate whether there has been a significant increase in the weight of the Takahe male birds.

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Initial weight (kg) 2.67 2.93 3.12 3.21 2.64 2.73 2.86 2.91 Weight after 14 days (kg) 2.71 3.01 3.19 3.24 2.6 2.78 2.84 2.97