The average height of adult females in the United States is 64.5 inches. Assume that ?...

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  1. The average height of adult females in the United States is64.5 inches. Assume that ? = 2.8 inches and the distribution isapprox. normal.
    1. Find the probability that a female selected at random is tallerthan 66 inches.
    2. If a sample of 25 females is selected, find the probabilitythat their mean height would be taller than 66 inches.
    3. Which probability is smaller? What can you say about thevariability of the average of sample vs. the variability of asingle observation?

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