We use cookies to give you the best experience possible. By continuing we’ll assume you’re on board with our cookie policy

Central Limit Theorem Essay

CENTRAL LIMIT THEOREM There are many situations in business where populations are distributed normally; however, this is not always the case. Some examples of distributions that aren’t normal are incomes in a region that are skewed to one side and if you need to are looking at people’s ages but need to break them down to for men and women. We need a way to look at the frequency distributions of these examples. We can find them by using the Central Limit Theorem.

The Central Limit Theorem states that random samples taken from a population will have a normal distribution as long as the sample size is sufficiently large. The sample mean will be approximately equal to the population mean. The sample’s standard deviation will be equal to the population’s standard deviation. The Central Limit Theorem is so important because with it we will know the shape of the sampling distribution even though we may not know what the population distribution looks like. The real key to this entire theorem is the term sufficiently large.

We will write a custom essay sample on Central Limit Theorem Essay specifically for you
for only $16.38 $13.9/page

Order now

If the sample size isn’t sufficiently large, the frequency distribution for the sample size will not look the same as it does for the population. For populations that are really symmetric, sample sizes of two or three will do. This is due to the fact that symmetric populations tend to have normal distributions already. However, if there is any skewedness at all, you will need a larger sample size to have normal distribution. In these cases, a conservative figure for a sufficiently large sample size is more than thirty.

Here are the steps to finding the probabilities associated with a sampling distribution of x bar. First you need to find the sample mean by dividing the sum of the samples by the number of samples. Next you will need to define the sampling distribution. If you have a sample size that is sufficiently large, this will be approximately normal. The third step is to define the probability statement of interest. The last step is to use the standard normal distribution to find that probability of interest. You do that by finding the z-value and converting it into a probability.

Choose Type of service

Choose writer quality

Page count

1 page 275 words

Deadline

Order Writing An Essay

iconLet us write you a custom essay sample!
icon
Sara from Artscolumbia

Hi there, would you like to get such a essay? How about receiving a customized one?
Check it out goo.gl/Crty7Tt

Central Limit Theorem Essay
Artscolumbia

Artscolumbia

CENTRAL LIMIT THEOREM There are many situations in business where populations are distributed normally; however, this is not always the case. Some examples of distributions that aren’t normal are incomes in a region that are skewed to one side and if you need to are looking at people’s ages but need to break them down to for men and women. We need a way to look at the frequency distributions of these examples. We can find them by using the Central Limit Theorem.

The Central Limit The

2018-10-22 12:01:01
Central Limit Theorem Essay
$ 13.900 2018-12-31
artscolumbia.org
In stock
Rated /5 based on customer reviews