Use the following information to answer the question. The mean age of lead actors from the top ten grossing movies of 2007 was 36.4 years with a standard deviation of 9.87 years. Assume the distribution of the actors ages is approximately unimodal and symmetric.
-In 2007, popular actor and singer Justin Timberlake was 26- years- old. What is Justin Timberlake's age in 2007 if it is standardized? Would it be unusual for a 26- year- old actor to be in a top- grossing film of 2007? Assume the Empirical Rule applies and round to the nearest hundredth.
A)z = - 1.05; It would not be unusual.
B)z = 1.05; It would be unusual.
C)z = 1.05; It would not be unusual.
D)z = - 1.05; It would be unusual.

Question

Quizplus · Accepted Answer

Justin Timberlake's age is 26 years old, which is 10.4 years below the mean. The standardized score is (26 - 36.4) / 9.87 = -1.05. According to the Empirical Rule, about 68% of the data falls within one standard deviation of the mean, so it would not be unusual for a 26-year-old actor to be in a top-grossing film of 2007.

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