Use the following information to answer the question. The mean age of lead actresses from the top ten grossing movies of 2010 was 29.6 years with a standard deviation of 6.35 years. Assume the distribution of the actresses' ages is approximately unimodal and symmetric.
-In 2010, popular actress Jennifer Aniston was 41-years-old. What is Jennifer Aniston's age if it is standardized? Would it be unusual for a 41-year-old actress to be in a top-grossing film of 2010? Assume the Empirical Rule applies and round to the nearest hundredth.
A) $ z=-1.80 ; $ It would be unusual.
B) $ z=-1.80 $; It would not be unusual.
C) $ z=1.80 $; It would be unusual.
D) $ z=1.80 $; It would not be unusual.

Question

Use the following information to answer the question. The mean age of lead actresses from the top ten grossing movies of 2010 was 29.6 years with a standard deviation of 6.35 years. Assume the distribution of the actresses' ages is approximately unimodal and symmetric.
-In 2010, popular actress Jennifer Aniston was 41-years-old. What is Jennifer Aniston's age if it is standardized? Would it be unusual for a 41-year-old actress to be in a top-grossing film of 2010? Assume the Empirical Rule applies and round to the nearest hundredth. 
A) $ z=-1.80 ; $ It would be unusual.
B) $ z=-1.80 $; It would not be unusual.
C) $ z=1.80 $; It would be unusual.
D) $ z=1.80 $; It would not be unusual.

Quizplus · Accepted Answer

Jennifer Aniston's standardized age (z-score) is calculated as $ z = \frac{41 - 29.6}{6.35} = 1.80 $. According to the Empirical Rule, a z-score within 2 standard deviations from the mean is not unusual.

Use the Following Information to Answer the Question z=−1.80; z=-1.80 ; z=−1.80;

Use the Following Information to Answer the Question $z=-1.80 ;$