Open study

is now brainly

With Brainly you can:

  • Get homework help from millions of students and moderators
  • Learn how to solve problems with step-by-step explanations
  • Share your knowledge and earn points by helping other students
  • Learn anywhere, anytime with the Brainly app!

A community for students.

What conditions must be fulfilled to apply the Central Limit Theorem? And in what cases would it be applied?

Collaborative Statistics
See more answers at
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly


Get your free account and access expert answers to this and thousands of other questions

The Central Limit Theorem states that, provided n (the number in the sample) is at least 30, the distribution of sample means is Normal, no matter what the distribution of the population from which the sample was taken. This theorem justifies the use of confidence intervals for sample means and proportions.
Not exactly n at least 30, that would still be the "t" distribution (already close to Normal for n = 30), but the limit as n--> infinity for sample means is Normal.
You're also only supposed to use Normal if you know the population variance (st. deviation).,

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

If X bar is the mean of a sample size n from a population which is not Normally distributed, then the Central Limit Theorem states that X bar will be approximately Normally distributed if the sample size is sufficiently large.\[(a\ common\ value\ given\ is\ n \ge30)\]
Key word: "approximately". In general, use the t distribution (it's not much harder, same basic procedures), which approaches normal for larger and larger n.

Not the answer you are looking for?

Search for more explanations.

Ask your own question