Question

What is the central limit theorem? What are some of the properties of distribution mean when...

What is the central limit theorem? What are some of the properties of distribution mean when the central limit theorem is in effect?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The central limit theorem states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement , then the distribution of the sample means will be approximately normally distributed.

The mean of a sample of data will be closer to the mean of the overall population depending on the sample size and as the sample size increases, the actual distribution of the data became more accurate. In other words, the data is accurate whether the distribution is normal or aberrant.

Please revert in case of any doubt.

Please upvote. Thanks in advance

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Question Central Limit Theorem a)According to the Central Limit Theorem, what are the mean and standard...
Question Central Limit Theorem a)According to the Central Limit Theorem, what are the mean and standard deviation of the sampling distribution of sample means? b)A population has a mean ?=1800 and a standard deviation ?=40. Find the mean and standard deviation of the sampling distribution of sample means when the sample size n=100.
According to the central limit theorem, a sample mean distribution is aproximately a normal distribution ,...
According to the central limit theorem, a sample mean distribution is aproximately a normal distribution , what are the mean and standard deviation of this normal distribution ?
What is wrong with the following statement of the central limit theorem? Central Limit Theorem.  If the...
What is wrong with the following statement of the central limit theorem? Central Limit Theorem.  If the random variables X1, X2, X3, …, Xn are a random sample of size n from any distribution with finite mean μ and variance σ2, then the distribution of will be approximately normal, with a standard deviation of σ / √n.
Using the central limit theorem, what is the distribution of sample means when the population distribution...
Using the central limit theorem, what is the distribution of sample means when the population distribution is the following? Part (a) rectangular Part (b) normally distributed Part (c) positively skewed Part (d) nonmodal Part (e) multimodal Part (f) negatively skewed
Which of the following statements is not consistent with the Central Limit Theorem? 1. The Central...
Which of the following statements is not consistent with the Central Limit Theorem? 1. The Central Limit Theorem applies to non-normal population distributions. 2. The standard deviation of the sampling distribution will be equal to the population standard deviation. 3. The sampling distribution will be approximately normal when the sample size is sufficiently large. 4. The mean of the sampling distribution will be equal to the population mean.
What is central limit theorem? What is the implication of central limit theorem for estimation error?
What is central limit theorem? What is the implication of central limit theorem for estimation error?
Please explain the following: (a) What is a sampling distribution? (b) Central Limit Theorem.
Please explain the following: (a) What is a sampling distribution? (b) Central Limit Theorem.
Which one of the following statements is true? A. The Central Limit Theorem states that the...
Which one of the following statements is true? A. The Central Limit Theorem states that the sampling distribution of the sample mean, y , is approximately Normal for large n only if the distribution of the population is normal. B. The Central Limit Theorem states that the sampling distribution of the sample mean, y , is approximately Normal for small n only if the distribution of the population is normal. C. The Central Limit Theorem states that the sampling distribution...
The Central Limit Theorem is used when dealing with: mean from a sample, individual data point...
The Central Limit Theorem is used when dealing with: mean from a sample, individual data point ,chi-squared distributions, or sampling distribution of a standard deviation? When using the CLT, we use σ √ n for the: standard deviation for individual values, mean for the sample, standard deviation of the sample means, or sample size?
The Central Limit Theorem allows us to make predictions about where a sample mean will fall...
The Central Limit Theorem allows us to make predictions about where a sample mean will fall in a distribution of sample means. One way it does this is by explaining (using a formula) how the shape of the distribution will change depending on the sample size. What part of the Central Limit Theorem tells us about the shape of the distribution? The part that explains that there is no standardized table you can use to find probabilities once you use...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT