Assuming that the heights of college women are normally distributed with mean 65 inches and standard deviation 3.4 inches, answer the following questions. (Hint: Use the figure below with mean ? and standard deviation ?.) Enter an exact number: (c) What percentage of women are between 61.6 inches and 68.4 inches?
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.
Assuming that the heights of college women are
Enter an exact number:
(c) What percentage of women are between 61.6 inches and 68.4 inches?
![Area Under a Normal Curve
2.35%
13.5%
34%
34%
13.5%
2.35%
µ - 30 u- 20
eto µ+ 20 µ+ 30
68%
95%
99.7%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb11474ed-9b9e-4c4f-9aff-ec3ba6a44683%2F3a72c1d8-5656-4603-b00e-0a106932e697%2Fazdn98c_processed.png&w=3840&q=75)
![Assuming that the heights of college women are normally distributed with mean 65 inches and standard deviation 3.4 inches, answer the following questions. (Hint: Use the figure below with mean u and standard deviation
σ.)
Area Under a Normal Curve
2.35%
13.5%
34%
34%
13.5%
2.35%
H- 30
u- 20
e + 20
u + 30
68%
95%
99.7%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb11474ed-9b9e-4c4f-9aff-ec3ba6a44683%2F3a72c1d8-5656-4603-b00e-0a106932e697%2Fywtggyo_processed.png&w=3840&q=75)
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