Question: The Central Limit Theorem: X k (7) A planetary astrophysicist measures the density of the planet Neptune. Af- ter thousands of measurements he has determined

The Central Limit Theorem: Xk

(7) A planetary astrophysicist measures the density of the planet Neptune. Af-

ter thousands of measurements he has determined that the average density

is 1.64 g=cm3, and these measurements have a standard deviation of 0.5

g=cm3.

(a) If 25 measurements are selected at random from this data set, deter-

mine the probability that the average density is greater than 1.9 g=cm3.

(b) If 100 measurements are selected at random from this data set, deter-

mine the probability that the average density is greater than 1.7 g=cm3.

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