Presentation is loading. Please wait.

Presentation is loading. Please wait.

Central Limit Theorem Accelerated Math 3.

Published byCaren Welch Modified over 5 years ago

Similar presentations

Presentation on theme: "Central Limit Theorem Accelerated Math 3."— Presentation transcript:

1 Central Limit Theorem Accelerated Math 3

2 Central Limit Theorem:
For a large “n” the sampling distribution of is approximately normal for any population with finite standard deviation .

3 To find the probability -
1st find the Z-Score: Then do what we have been doing… normcdf(lower, upper)

4 The only example.  Assume that the weights of paper discarded each week by households are normally distributed with a mean of 9.43 lb. and a standard deviation of 4.17 lb. Find the probability that 12 randomly selected households have a mean between 10.0 lb. and 12.0 lb.

5 Oh wait! Would you like to learn how to do this completely on your calculator? 

Download ppt "Central Limit Theorem Accelerated Math 3."

Similar presentations

The Normal Distribution

The Normal Distribution
Distribution of Sample Means, the Central Limit Theorem If we take a new sample, the sample mean varies. Thus the sample mean has a distribution, called.

Distribution of Sample Means, the Central Limit Theorem If we take a new sample, the sample mean varies. Thus the sample mean has a distribution, called.
6-1 6-2 Chapter Six Sampling Distributions McGraw-Hill/Irwin Copyright © 2004 by The McGraw-Hill Companies, Inc. All rights reserved.

Chapter Six Sampling Distributions McGraw-Hill/Irwin Copyright © 2004 by The McGraw-Hill Companies, Inc. All rights reserved.
Distribution of Sample Means 2011, 10, 20. Today ’ s Topics What is distribution of sample means?** Properties of distribution of sample means* How to.

Distribution of Sample Means 2011, 10, 20. Today ’ s Topics What is distribution of sample means?** Properties of distribution of sample means* How to.
Lesson #17 Sampling Distributions. The mean of a sampling distribution is called the expected value of the statistic. The standard deviation of a sampling.

Lesson #17 Sampling Distributions. The mean of a sampling distribution is called the expected value of the statistic. The standard deviation of a sampling.
PROBABILITY AND SAMPLES: THE DISTRIBUTION OF SAMPLE MEANS.

PROBABILITY AND SAMPLES: THE DISTRIBUTION OF SAMPLE MEANS.
6-5 The Central Limit Theorem

6-5 The Central Limit Theorem
The Practice of Statistics, 5th Edition Starnes, Tabor, Yates, Moore Bedford Freeman Worth Publishers CHAPTER 7 Sampling Distributions 7.3 Sample Means.

The Practice of Statistics, 5th Edition Starnes, Tabor, Yates, Moore Bedford Freeman Worth Publishers CHAPTER 7 Sampling Distributions 7.3 Sample Means.
Chapter 11: Random Sampling and Sampling Distributions

Chapter 11: Random Sampling and Sampling Distributions
The Central Limit Theorem For simple random samples from any population with finite mean and variance, as n becomes increasingly large, the sampling distribution.

The Central Limit Theorem For simple random samples from any population with finite mean and variance, as n becomes increasingly large, the sampling distribution.
Normal and Sampling Distributions A normal distribution is uniquely determined by its mean, , and variance,  2 The random variable Z = (X-  /  is.

Normal and Sampling Distributions A normal distribution is uniquely determined by its mean, , and variance,  2 The random variable Z = (X-  /  is.
Standard error of estimate & Confidence interval.

Standard error of estimate & Confidence interval.
Quiz 5 Normal Probability Distribution.

Quiz 5 Normal Probability Distribution.
The Central Limit Theorem. 1. The random variable x has a distribution (which may or may not be normal) with mean and standard deviation. 2. Simple random.

The Central Limit Theorem. 1. The random variable x has a distribution (which may or may not be normal) with mean and standard deviation. 2. Simple random.
Sampling and sampling distibutions. Sampling from a finite and an infinite population Simple random sample (finite population) – Population size N, sample.

Sampling and sampling distibutions. Sampling from a finite and an infinite population Simple random sample (finite population) – Population size N, sample.
Chapter 10 – Sampling Distributions Math 22 Introductory Statistics.

Chapter 10 – Sampling Distributions Math 22 Introductory Statistics.
Sampling Distribution of a Sample Mean Lecture 30 Section 8.4 Mon, Mar 19, 2007.

Sampling Distribution of a Sample Mean Lecture 30 Section 8.4 Mon, Mar 19, 2007.
Statistics Workshop Tutorial 5 Sampling Distribution The Central Limit Theorem.

Statistics Workshop Tutorial 5 Sampling Distribution The Central Limit Theorem.
Statistics 300: Elementary Statistics Section 6-5.

Statistics 300: Elementary Statistics Section 6-5.
Distribution of the Sample Mean (Central Limit Theorem)

Distribution of the Sample Mean (Central Limit Theorem)

Similar presentations

Ads by Google