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 68% of the lead actresses ages? A. 23.25 and 35.95 years O B. 10.55 and 48.65 years O C. 16.9 and 42.3 years O D. None of these
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![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 68% of the lead actresses ages?
A. 23.25 and 35.95 years
O B. 10.55 and 48.65 years
O C. 16.9 and 42.3 years
O D. None of these](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfc1f11b-dd1d-4452-af2e-391c3b670477%2F23284bd4-559b-480a-b014-de9ca5f70050%2Fq47hgeh.jpeg&w=3840&q=75)
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