c. Identify the mean and standard deviation of x. Choose the correct answer below. A. H and O B. H and o OC. and O D. and o Vn d. Does your answer to part (c) depend on the assumption that the variable under consideration is normally distributed? Why or why not? O A. No, for any variable, the mean of x is at least approximately equal to µ, and the standard deviation of x exactly equals О В. Yes, for some distributions of x, the mean of x is and for other distributions of x, the standard deviation of x is o. O C. Yes, if the distribution of x is skewed, the mean of x will be different from u in the direction that the distribution of x is skewed. O D. No, for any variable, the mean of x equals µ, and the standard deviation of x is at least approximately equal to
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.
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