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. Between what two values would you expect to find about 95% of the lead actresses ages

Answer 1

Answer:

You should expect to find about 95% of the lead actresses ages between 16.9 years and 42.3 years.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 29.6 years, Standard deviation = 6.35 years.

Between what two values would you expect to find about 95% of the lead actresses ages

By the Empirical Rule, within 2 standard deviations of the mean. So

29.6 - 2*6.35 = 16.9 years

29.6 + 2*6.35 = 42.3 years

You should expect to find about 95% of the lead actresses ages between 16.9 years and 42.3 years.