Sampling Methods and the Central Limit Theorem

Aug 09, 2012

210 likes | 724 Views

2. GOALS. Explain why a sample is the only feasible way to learn about a population.Describe methods to select a sample.Define and construct a sampling distribution of the sample mean.Explain the central limit theorem. Use the central limit theorem to find probabilities of selecting possible sa

Share Presentation

Embed Code

Link

demi

Download Presentation

Sampling Methods and the Central Limit Theorem

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

1. Sampling Methods and the Central Limit Theorem Chapter 8

4.4 Sampling Distribution Models and the Central Limit Theorem

4.4 Sampling Distribution Models and the Central Limit Theorem. Transition from Data Analysis and Probability to Statistics. Sampling Distributions. Population parameter : a numerical descriptive measure of a population.

664 views • 40 slides

The Central Limit Theorem

The Central Limit Theorem. Honors Statistics Lesson 7.4. Objectives/Assignment. How to find sampling distributions and verify their properties How to interpret the Central Limit Theorem How to apply the Central Limit Theorem to find the probability of a sample mean. Introduction.

586 views • 33 slides

Sampling Methods and the Central Limit Theorem

Sampling Methods and the Central Limit Theorem. Chapter 8. GOALS. Explain why a sample is the only feasible way to learn about a population. Describe methods to select a sample. Define and construct a sampling distribution of the sample mean. Explain the central limit theorem .

2.35k views • 21 slides

Central Limit Theorem

Central Limit Theorem. The central limit theorem and the law of large numbers are the two fundamental theorems of probability.

1.01k views • 39 slides

The Central Limit Theorem

The Central Limit Theorem. The Central Limit Theorem tells us that for a population with any distribution, the distribution of the sample mean approaches a normal distribution as the sample size increases.

2.9k views • 15 slides

Chapter 10: Sampling and Central Limit Theorem

Chapter 10: Sampling and Central Limit Theorem. Number of Cards : 52 Excluding Jokers Unit of analysis = 1 card Denominations : 13 2-10 Ace (1) Jack Queen King. Colors : 2 Black (26 cards) Red (26 cards) Suits : 4 Clubs ( ♣ ) Diamonds ( ♦ ) Hearts ( ♥ ) Spades ( ♠ ).

560 views • 32 slides

Central Limit Theorem

Central Limit Theorem. Different Populations Same Results.

505 views • 18 slides

The Central Limit Theorem

The Central Limit Theorem. For simple random samples from any population with finite mean and variance, as n becomes increasingly large, the sampling distribution of the sample means is approximately normally distributed. The Central Limit Theorem.

287 views • 5 slides

Central limit theorem

Gaussians everywhere. Central limit theorem. Gaussians in physics. Slightly-disguised Gaussians in biology. 0. 1. -1. 0. Central limit theorem. H. T. -3. -2. -1. 0. 1. 2. 3. Gaussians everywhere. Central limit theorem. Gaussians in physics.

280 views • 9 slides

Central Limit Theorem

Central Limit Theorem. Example: (NOTE THAT THE ANSWER IS CORRECTED COMPARED TO NOTES5.PPT) 5 chemists independently synthesize a compound 1 time each. Each reaction should produce 10ml of a substance.

542 views • 20 slides

THE CENTRAL LIMIT THEOREM

THE CENTRAL LIMIT THEOREM. The World is Normal Theorem. Sampling Distribution of x- normally distributed population. n=10. Sampling distribution of x: N (  ,  /10). /10. Population distribution: N(  ,  ). . Normal Populations. Important Fact:

635 views • 25 slides

Sampling Methods and the Central Limit Theorem

416 views • 21 slides

The Central Limit Theorem

The Central Limit Theorem. Paul Cornwell March 31, 2011. Statement of Theorem.

566 views • 29 slides

Central Limit Theorem

Central Limit Theorem. General version. Statistics are. Unbiased : on average, the calculated statistic from a random sample equals in value to the corresponding population parameter.

269 views • 10 slides

5.4 Sampling Distributions and the Central Limit Theorem

5.4 Sampling Distributions and the Central Limit Theorem. Find sampling distributions and verify their properties Interpret the Central Limit Theorem Apply the Central Limit Theorem to find the probability of a sample mean. Sampling distribution.

536 views • 18 slides

Sampling Distributions & the Central Limit Theorem

Sampling Distributions & the Central Limit Theorem. A sampling distribution is a distribution consisting of a particular sample statistic from a collection of samples of the same size (n) that are repeatedly taken from a population.

275 views • 10 slides

Central Limit Theorem

Central Limit Theorem. Given:. 1. The random variable x has a distribution (which may or may not be normal) with mean µ and standard deviation  . 2. Samples all of the same size n are randomly selected from the population of x values. Central Limit Theorem. Conclusions:.

408 views • 18 slides

Sampling Distribution and the Central Limit Theorem

Sampling Distribution and the Central Limit Theorem. Sampling Distributions – Sample Means. Instead of working with individual scores, statisticians often work with means. Several samples are taken, the mean is computed for each sample, and then the means are used as the data,

200 views • 10 slides

THE CENTRAL LIMIT THEOREM

323 views • 25 slides

Central Limit Theorem

Central Limit Theorem The theorem states that the sum of a large number of independent observations from the same distribution has, under certain general conditions, an approximate normal distribution.

178 views • 14 slides

The Central Limit Theorem

297 views • 5 slides

Sampling Methods and the Central Limit Theorem

168 views • 12 slides

More Related

Sampling Methods and the Central Limit Theorem

Sampling Methods and the Central Limit Theorem

Presentation Transcript

4.4 Sampling Distribution Models and the Central Limit Theorem

The Central Limit Theorem

Sampling Methods and the Central Limit Theorem

Central Limit Theorem

The Central Limit Theorem

Chapter 10: Sampling and Central Limit Theorem

Central Limit Theorem

The Central Limit Theorem

Central limit theorem

Central Limit Theorem

THE CENTRAL LIMIT THEOREM

Sampling Methods and the Central Limit Theorem

The Central Limit Theorem

Central Limit Theorem

5.4 Sampling Distributions and the Central Limit Theorem

Sampling Distributions &amp; the Central Limit Theorem

Central Limit Theorem

Sampling Distribution and the Central Limit Theorem

THE CENTRAL LIMIT THEOREM

Central Limit Theorem

The Central Limit Theorem

Sampling Methods and the Central Limit Theorem

Sampling Distributions & the Central Limit Theorem