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State the main reason for using the empirical rule rather than chebyshevs theorem?
Wiki User
∙ 14y ago
The empirical rule can only be used for a normal distribution, so I will assume you are referring to a normal distribution. Chebyshev's theorem can be used for any distribution. The empirical rule is more accurate than Chebyshev's theorem for a normal distribution. For 2 standard deviations (sd) from the mean, the empirical rule says 95% of the data are within that, and Chebyshev's theorem says 1 - 1/2^2 = 1 - 1/4 = 3/4 or 75% of the data are within that. From the standard normal distribution chart, the answer for 2 sd from the mean is 95.44% So, as you can see the empirical rule is more accurate.
Wiki User
∙ 14y ago
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The central limit theorem is one of two fundamental theories of probability. It's very important because its the reason a great number of statistical procedures work. The theorem states the distribution of an average has the tendency to be normal, even when it turns out that the distribution from which the average is calculated is definitely non-normal.
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What is another name for most important?
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A is a statement that has been deductively proven and can be used as a reason in future proofs?
theorem
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A superstition is any belief that is followed based on tradition and empirical evidence rather than a belief that is based on scientific testing, logic and reason: Any belief that relies on the existence of something supernatural for an explanation, it is a superstition.
What is the meaning Beliefs?
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What was the primary change in paradigm during the 18th century and the restoration?
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If your issues are on the table, then it would be apparent that empirical evidence would trump theory, if the theory on the table were not proven to be true. If the theory were proven to be true, and the empirical evidence does not agree with the theory, then more experimentation would be necessary to determine the validity of the theory.
Can you use the normal distribution to approximate the binomial distribution. Give reason?
Yes, and the justification comes from the Central Limit Theorem.
Why is central limit theorem important?
The central limit theorem is one of two fundamental theories of probability. It's very important because its the reason a great number of statistical procedures work. The theorem states the distribution of an average has the tendency to be normal, even when it turns out that the distribution from which the average is calculated is definitely non-normal.
What has the author Laurens P Hickok written?
Laurens P. Hickok has written: 'Empirical psychology' -- subject(s): Psychology 'Empirical Psychology' -- subject(s): Psychology 'The sources of military delusion, and the practicability of their removal' -- subject(s): Peace, Pacifism 'Intellectual development in its spontaneity and its liberty' 'The logic of reason, universal and eternal' -- subject(s): Reason, Logic 'Empirical psychology' -- subject(s): Psychology 'Humanity immortal' -- subject(s): Accessible book, Theological anthropology, Redemption 'Rational cosmology' -- subject(s): Cosmology
