(a) What proportion of Z scores lie between -1 and +1 in the ”Height in Inches” data set? Round your answer to three decimal places. (b) What proportion of Z -scores lie between -2 and +2 in the ”Height in Inches” data set? Round your answer to three decimal places. (c) What proportion of Z scores lie between -3 and +3 in the ”Height in Inches” data set? Round your answer to three decimal places.
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.
(a) What proportion of Z scores lie between -1 and +1 in the ”Height in Inches” data
set? Round your answer to three decimal places.
(b) What proportion of Z -scores lie between -2 and +2 in the ”Height in Inches” data
set? Round your answer to three decimal places.
(c) What proportion of Z scores lie between -3 and +3 in the ”Height in Inches” data
set? Round your answer to three decimal places.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
