Compute the mean , variance and standard deviation of the sampling distribution taken from the following populations. When 25 numbers are drawn with replacement from a jar containing 1, 3, 5 and 6.
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.
(SAMPLING and SAMPLING DISTRIBUTION)
Compute the mean , variance and standard deviation of the sampling distribution taken from the following populations.
- When 25 numbers are drawn with replacement from a jar containing 1, 3, 5 and 6.
- When a sample size 9 are taken with replacement from the population 1,1,2,2,2,3,3,4.
- When a biased die whose even numbers come up twice as the odd numbers is rolled 16 times.
- What are the mean, variance and standard error of the sample mean when 60 students are taken from a population of 2000 with a mean score of 75 and standard deviation of 5?
- The mean IQ of 10000 students of SJ University is 98 with standard deviation of 4. If 100 of them were taken as samples, what are the mean, variance and standard error of the sampling distribution?
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