What Square root law is
The square root law is a statistical concept that states that the standard deviation of a population is inversely proportional to the square root of the sample size. This means that as the sample size increases, the standard deviation of the population decreases.
Steps for the Square Root Law:
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Calculate the mean of the population sample.
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Calculate the variance of the population sample.
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Take the square root of the sample size.
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Divide the variance by the square root of the sample size.
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The result is the standard deviation of the population.
Examples
- The square root law can be used to calculate the variance of a normally distributed random variable.
- The square root law can be used to determine the minimum sample size needed for a given population size and desired level of accuracy.
- The square root law can be used to approximate the standard deviation of a sample from its mean.
- The square root law can be used to estimate the margin of error when calculating a confidence interval.
- The square root law can be used to calculate the critical value for a given level of confidence when conducting a hypothesis test.