In a certain city, the average 20- to 29-year old man is 69.4 inches tall, with a standard deviation of 3.0 inches, while the average 20- to 29-year old woman is 64.5 inches tall, with a standard deviation of 3.8 inches. Who is relatively taller, a 75-inch man or a 70-inch woman? Find the corresponding z-scores. Who is relatively taller, a 75-inch man or a 70-inch woman? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. The z-score for the woman, is smaller than the z-score for the man, , so she is relatively taller. O B. The z-score for the woman, is larger than the z-score for the man, so she is relatively taller. O C. The z-score for the man, is smaller than the z-score for the woman, so he is relatively taller. O D. The z-score for the man, is larger than the z-score for the woman, so he is relatively taller.
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.
![In a certain city, the average 20- to 29-year old man is 69.4 inches tall, with a standard deviation of 3.0 inches, while the average 20- to 29-year old woman is 64.5
inches tall, with a standard deviation of 3.8 inches. Who is relatively taller, a 75-inch man or a 70-inch woman?
Find the corresponding z-scores. Who is relatively taller, a 75-inch man or a 70-inch woman? Select the correct choice below and fill in the answer boxes to
complete your choice.
(Round to two decimal places as needed.)
O A. The z-score for the woman,
is smaller than the z-score for the man,
so she is relatively taller.
O B. The z-score for the woman,
is larger than the z-score for the man,
so she is relatively taller.
O C. The z-score for the man,
is smaller than the z-score for the woman,
so he is relatively taller.
O D. The Z-score for the man,
, is larger than the z-score for the woman,
so he is relatively taller.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c64d6ce-50a8-48db-ae08-d0a968695ed1%2F647579df-dcf7-4560-99b9-49144c578c2d%2Fsmygbjb_processed.jpeg&w=3840&q=75)
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