We are introduced to the Central Limit Theorem, so you have to explain what makes the...

We are introduced to the Central Limit Theorem, so you have to explain what makes the Central Limit Theorem so important to statistics?

Then we are introduced to Confidence Intervals. I would like you to explain if we can have a confidence interval for a confidence level of 100%?

Expert Solution

orchestra answered 2 years ago

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.

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?

Explain Central Limit Theorem. What is the sampling distribution of the mean? Explain the differences between...

Explain Central Limit Theorem. What is the sampling distribution of the mean? Explain the differences between a discrete random variable and a continuous random variable.

Post a variable for which you could use the central limit theorem. Explain.

To see for yourself how the central limit theorem works, let's say we have a normal...

To see for yourself how the central limit theorem works, let's say we have a normal distribution (with mean =100 and standard devation = 20). Let's generate some random samples of various sizes from this distribution. We can do this in excel using =norm.inv(rand(),100,20) and it will randomly generate numbers from this distribution. I generated four samples of size 5, 10, 20 and 30, and got the means of 124 (n=5); 91 (n=10); 105 (n=20); 103 (n=30). If I continue...

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 statistics we use the central limit theorem rule for n>30. But what do we use...

For statistics we use the central limit theorem rule for n>30. But what do we use is n<30?? Please fully explain with examples

How does the central limit theorem work and why is it so important to the use...

How does the central limit theorem work and why is it so important to the use of inferential statistics?

What is the central limit theorem? What is the standard error of the mean?

Question 5 What is the central limit theorem? Provide examples. Question 6 What is the standard error of the mean? Provide examples.

A) state the complete Central Limit Theorem (CLT) B) explain why we need the theoretical idea...

A) state the complete Central Limit Theorem (CLT) B) explain why we need the theoretical idea of sampling distributions in a hypothesis test even though we only take one sample to decide between the hypothesis. C) relate each part of the formula r= X-Mean0 / S/ square root of n D) Explain what type 1 and type 2 errors are E) explain how it is possible to conduct the correct test flawlessly using a simple random sample of sufficient size...

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