The basal diameter of a sea anemone is an indicator of its age. The density curve shown

Question:

The basal diameter of a sea anemone is an indicator of its age. The density curve shown here represents the of diameters in a certain large population of anemones: the population mean diameter is 4.2 cm. and the standard deviation is 1.4 cm.4 Let represent the mean diameter of 25 anemones randomly chosen from the population.

(a) Find the approximate value of Pr{4 ‰¤ ‰¤ 5}.
(b) Why is your answer to part (a) approximately correct even though the population distribution of diameters is clearly not normal? Would the same approach be equally valid for a sample of size 2 rather than 25? Why or why not?

Distribution
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