In a certain city, the average 20- to 29-year old man is 69.6 inches tall, with a standard deviation of 3.2 inches, while the average 20- to 29-year old woman is 64.1 inches tall, with a standard deviation of 3.9 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 corect 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 man, is larger than the z-score for the woman, so he is relatively taller. is larger than the z-score for the man,, so she is relatively taller. O B. The z-score for the woman, O C. The z-score for the man,, is smaller than the z-score for the woman, ,so he is relatively taller. is smaller than the z-score for the man, so she is relatively taller O D. The Z-score for the woman, Click to select and enter your answer(s). 7:51 acer Ce esc & %3D $ % 8 9 @ 6. 7 4 5 2 3 1 t y e ab k 一 个 w/
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 69.6 inches tall, with a standard deviation of 3.2 inches, while the average 20- to 29-year old worman is 64.1 inches tall, with a standard deviation of 3.9 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 man,
is larger than the z-score for the woman,
O B. The Z-score for the woman,
so he is relatively taller.
is larger than the z-score for the man,
O C. The z-score for the man,, is smaller than the z-score for the woman,
so she is relatively taller.
,so he is relatively taller.
O D. The z-score for the woman,, is smaller than the z-score for the man, so she is relatively taller.
Click to select and enter your answer(s).
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