What is the z-score corresponding to X = 52? B. What is the X value corresponding to z = - 0.50? C. If all of the scores in the population are transformed into z-scores, what will be the values for the mean and standard deviation for the complete set of z-scores? D. What is the z-score corresponding to a sample mean of M=42 for a sample of n = 4 scores? E. What is the z-scores corresponding to a sample mean of M= 42 for a sample of n = 6 scores
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.
1. Find each of the requested values for a population with a
standard deviation of = 8
A. What is the z-score corresponding to X = 52?
B. What is the X value corresponding to z = - 0.50?
C. If all of the scores in the population are transformed into z-scores, what will be the
values for the mean and standard deviation for the complete set of z-scores?
D. What is the z-score corresponding to a sample mean of M=42 for a sample of n = 4
scores?
E. What is the z-scores corresponding to a sample mean of M= 42 for a sample of n =
6 scores
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