Let Z1, Z2..., Z6o be independent observations from a distribution Z which is not normal. Suppose it is known that the mean of this distribution is 38 and the standard deviation is 6. What can we say about the sample mean? Explain.
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.
Can someone help explain all this and type it in words. Please help to answer all because I would like to have further knowledge in statistics but I am unsure about it. Please help answer it.



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