Practice B Given the population 1,4,5,7, 9. Suppose sample size of 3 are drawn from this population. 1. What is the mean (u), variance (0 ) and standard deviation (O) of the population? 2. How many different samples of size n = 3 can be drawn from the population? List them with their corresponding means. 3. Construct the sampling distribution of the sample mean. 4. What is the mean (u2) of the sampling distribution mean? Compare to the mean of the population. 5. What is the variance ( o ) and standard (°x) of the sampling distribution of the sample means?
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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