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The mean age of lead actresses from the top grossing movies of is 29.6 years with...

The mean age of lead actresses from the top grossing movies of is 29.6 years with a standard deviation of 6.35 years. Assume the distribution of the actresses’ ages is approximately Normal.

What is the probability that 5 randomly selected actresses will have a sample mean age younger than 20 years? Show work.

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Answer #1

Z = (X - mean) / (SD / sqrt(n))

P(X bar > 20) = P(Z > (20 - 29.6)/(6.35/sqrt(5)))

= P(Z > -3.38)

= 0.9996

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