Question

The Central Limit Theorem is the Big Idea behind a lot of the statistics actually used in science to draw conclusions. Why is that?  
First, restate the theorem in your own words. Then explain why you think it is important. It's OK if your ideas aren't fully developed yet, I want you to feel around and explore ideas.

Answer 1

central limit theosam The statement of the central limit theoran can seem quite technical but can be understood if we think through the following steps we begin with a simple random sample with an individuay from a population of interest From this Sample we can easily form a Sumpie mean that corresponds to the mean that comes fonds to the mean

bole bage od what measuremeno about in our population we are curios uneapected appearance of a norma disaribution from a poprrution distribution that is snewed hey some very important applications in statistical Preetice. many practices in Stetsgies, such as those invowing hapothesis desting or confidence intervals, mare some assumptions concerning the the population that the data was obtained from one assumption that is initially initially made a steltistics course is that the populations that worm with are non many astributed. world The assumption that data made is from a m a normal normal distribution simplifies matters but Seamy a little Unrealistic: Jusa a little wom with some real- data Shows shed outliners, skeunes multiple peaks and asymmetry show UP quite roudmed. we can get around the problem of data froma population that is not normal a The ve of an appropriate

Date Page Sampie size and the central limit theoram help us to get around the problem of data from populations theut are not normale This even though we might nos not know the shape of the distribusion where our data comes from the central of limit theosam aoys shot we can treat the sampling distribusion as is it were normal eaploradors analysis can help us to determine how large of a necessary a given situation ! data sumere is
please like.

Thank you