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The lengths of mourning doves (from beak to tail) are known to be normally distributed. Suppose...

The lengths of mourning doves (from beak to tail) are known to be normally distributed. Suppose that 5 mourning doves are selected at random, and it is found that the average length of the mourning doves is 32.4 cm, with a standard deviation of 2.9 cm. Let µ denote the true mean length of mourning doves. Test the hypotheses H0 : µ = 30, Ha : µ > 30 at the level α = 0.1.

a) What would the conclusion be if we were testing at the level a= 0.05 ?

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