9 Define the Central Limit Theorem in your own words. When would I use the Central...

9

Define the Central Limit Theorem in your own words. When would I use the Central Limit

Theorem in the “real world”?

Expert Solution

orchestra answered 1 year ago

1. What is the Central Limit Theorem? Try to state it in your own words. 2....

1. What is the Central Limit Theorem? Try to state it in your own words. 2. Consider the random variable x, where x is the number of dots after rolling a die. Make a sketch of the probability distribution of this variable. What is the expected value of x? 3. Now consider the random variable that is the average number of dots after four rolls. Is this variable normally distributed? Explain. 4. Suppose we changed the definition to the average...

Explain in your own words, What you know about the central limit theorem. What does it...

Explain in your own words, What you know about the central limit theorem. What does it do? When can you use it?

I would like to see a proof of the Central Limit Theorem that applies to a...

I would like to see a proof of the Central Limit Theorem that applies to a simple probability dice scenerio, say rolling a 6 x amount of times. The goal is to help me understand the theorem with a simple example. Thanks!

This week we’ve introduced the central limit theorem. According to the central limit theorem, for all...

This week we’ve introduced the central limit theorem. According to the central limit theorem, for all samples of the same size n with n>30, the sampling distribution of x can be approximated by a normal distribution. In your initial post use your own words to explain what this theorem means. Then provide a quick example to explain how this theorem might apply in real life. At last, please share with us your thoughts about why this theorem is important.

What does the central limit theorem mean in plain words and what do we use it...

What does the central limit theorem mean in plain words and what do we use it for?

For which of the following situations would the central limit theorem not imply that the sample...

For which of the following situations would the central limit theorem not imply that the sample distribution for ?¯x¯ is approximately Normal? a population is not Normal, and we use samples of size ?=50n=50 . a population is not Normal, and we use samples of size ?=6n=6 . a population is Normal, and we use samples of size ?=50n=50 . a population is Normal, and we use samples of size ?=6n=6 .

Use the Central Limit Theorem to calculate the following probability. Assume that the distribution of the...

Use the Central Limit Theorem to calculate the following probability. Assume that the distribution of the population data is normally distributed. A person with “normal” blood pressure has a diastolic measurement of 75 mmHg, and a standard deviation of 4.5 mmHg. i) What is the probability that a person with “normal” blood pressure will get a diastolic result of over 80 mmHg, indicating the possibility of pre-hypertension? ii) If a patient takes their blood pressure every day for 10 days,...

There are 4 conditions that must be true in order to use the Central Limit theorem.

There are 4 conditions that must be true in order to use the Central Limit theorem. 1) We must have a simple random sample (SRS); 2) the sample size must be less than 10% of the population; 3) the observations must be independent; and 4) the sample size must be large enough so that both np > 10 and n(1 - p) >10, in which the true proportion (or probability) possessing the attribute of interest is p. Then the Central...

There are 4 conditions that must be true in order to use the Central Limit theorem.

Part 3: The Central Limit Theorem for a Sample ProportionThere are 4 conditions that must be true in order to use the Central Limit theorem. 1) We must have a simple random sample (SRS); 2) the sample size must be less than 10% of the population; 3) the observations must be independent; and 4) the sample size must be large enough so that both np > 10 and n(1 - p) >10, in which the true proportion (or probability) possessing...

There are 4 conditions that must be true in order to use the Central Limit theorem....

There are 4 conditions that must be true in order to use the Central Limit theorem. 1) We must have a simple random sample (SRS); 2) the sample size must be less than 10% of the population; 3) the observations must be independent; and 4) the sample size must be large enough so that both np > 10 and n(1 - p) >10, in which the true proportion (or probability) possessing the attribute of interest is p. Then the Central...

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9 Define the Central Limit Theorem in your own words. When would I use the Central...

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There are 4 conditions that must be true in order to use the Central Limit theorem.

There are 4 conditions that must be true in order to use the Central Limit theorem.

There are 4 conditions that must be true in order to use the Central Limit theorem....