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State the main reason for using the empirical rule rather than chebyshevs theorem?
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.
What else can I help you with?
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.
Why you put price on y axis and quantity demanded on x axis in economics?
Price and quantity demanded are both interdependent: there is not an independent variable. From that point of view, there is no reason to put one variable on the x-axis rather than the other.However, putting price on the horizontal axis makes it simpler to add the supply curve on the same chart, and then study the market equilibrium.Price and quantity demanded are both interdependent: there is not an independent variable. From that point of view, there is no reason to put one variable on the x-axis rather than the other.However, putting price on the horizontal axis makes it simpler to add the supply curve on the same chart, and then study the market equilibrium.Price and quantity demanded are both interdependent: there is not an independent variable. From that point of view, there is no reason to put one variable on the x-axis rather than the other.However, putting price on the horizontal axis makes it simpler to add the supply curve on the same chart, and then study the market equilibrium.Price and quantity demanded are both interdependent: there is not an independent variable. From that point of view, there is no reason to put one variable on the x-axis rather than the other.However, putting price on the horizontal axis makes it simpler to add the supply curve on the same chart, and then study the market equilibrium.
Perimeter of a right angled triangle is 12 cm and its hypotenuse is 5 cm.find the other sides?
If you have ever heard of a 3:4:5 triangle, there's your answer. 3 and 4 The reason this is so, is because 3^2 + 4^2 = 5^2 (9 + 16 = 25) according to the Pythagorean Theorem, and 3 + 4 + 5 just so happens to equal 12.
What is another name for most important?
The most important reason... The primary reason ...
Why is empirical formula not double that of the monosaccharide?
According to biologists, the reason an empirical formula is not double that of the monosaccharide is because it loses one water molecule.
Why is the empirical formula not double of the monosaccharides?
According to biologists, the reason an empirical formula is not double that of the monosaccharide is because it loses one water molecule.
What does a posteriori mean in philosophy?
a posteriori means it argues from experience (empirical evidence) to a conclusion. for example the design arguments claims that there is order in the world (experience) and then concludes that there must be a God who designed this (the conclusion)
A is a statement that has been deductively proven and can be used as a reason in future proofs?
theorem
What is a statement that has been deducitvely proven and can be used as a reason in future proofs?
Theorem
What is the meaning of beliefs?
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?
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.
Why is the enlightenment sometimes called the age of reason?
The Enlightenment is sometimes called the Age of Reason because it emphasized the use of reason, logic, and critical thinking as tools for understanding the world and shaping society. During this period, there was a strong focus on rationality, empirical evidence, and individual rights, leading to advancements in science, philosophy, and politics.
What is the history of the Pythagorean theorem?
While the theorem is attributed to Pythagoras, there is reason to believe it was known much earlier. For example, megalithic sites that predate Pythagoras seem to have applied this knowledge.
Why was the enlightment called the age of reason?
The Enlightenment was called the Age of Reason because it emphasized the importance of using logic, reason, and empirical evidence to understand the world and solve problems. It marked a shift away from superstition, tradition, and religious authority in favor of rational thinking and scientific inquiry.
What was the primary change in paradigm during the 18th century and the restoration?
The paragigm shift from mystical life to measurable life The dawn of the age of REASON Empirical evidence ONLY no more gnosis The paragigm shift from mystical life to measurable life The dawn of the age of REASON Empirical evidence ONLY no more gnosis
What is Immanuel Kant reaction on pure reason?
Immanuel Kant believed that pure reason is limited in its ability to understand and know the world, as it is bound by the constraints of human cognition. He argued that pure reason alone cannot access fundamental truths about reality, and that a combination of reason and empirical observation is necessary for true understanding. This led Kant to develop his theory of transcendentally ideal knowledge, where knowledge is structured by the mind rather than being a direct representation of the world.
