From Simulations to the Central Limit Theorem

Slides:

Advertisements

Similar presentations

Parameter: A number describing a characteristic of the population (usually unknown) The mean gas price of regular gasoline for all gas stations in Maryland.

Advertisements

AP Statistics: Section 9.1 Sampling Distributions

Sampling: Final and Initial Sample Size Determination

Chapter 6 Introduction to Sampling Distributions

Fall 2006 – Fundamentals of Business Statistics 1 Chapter 6 Introduction to Sampling Distributions.

Descriptive statistics Experiment  Data  Sample Statistics Experiment  Data  Sample Statistics Sample mean Sample mean Sample variance Sample variance.

Chapter 7: Variation in repeated samples – Sampling distributions

Chapter 7 Probability and Samples: The Distribution of Sample Means

AP Statistics Chapter 9 Notes.

Estimation in Sampling!? Chapter 7 – Statistical Problem Solving in Geography.

Understanding the scores from Test 2 In-class exercise.

AP Statistics 9.3 Sample Means.

Sampling Distribution of a sample Means

Chapter 18 – Part II Sampling Distribution for the Sample Mean.

Chapter 6 Lecture 3 Sections: 6.4 – 6.5.

Statistics PSY302 Quiz One Spring A _____ places an individual into one of several groups or categories. (p. 4) a. normal curve b. spread c.

Statistics 300: Elementary Statistics Section 6-5.

6 - 1 © 1998 Prentice-Hall, Inc. Chapter 6 Sampling Distributions.

Determination of Sample Size: A Review of Statistical Theory

Population and Sample The entire group of individuals that we want information about is called population. A sample is a part of the population that we.

Chapter 7 Sampling and Sampling Distributions ©. Simple Random Sample simple random sample Suppose that we want to select a sample of n objects from a.

Sampling Distributions and Inference for Proportions(C18-C22 BVD) C18: Sampling Distributions.

Sampling Error SAMPLING ERROR-SINGLE MEAN The difference between a value (a statistic) computed from a sample and the corresponding value (a parameter)

AP Statistics: Section 9.1 Sampling Distributions.

Stat 1510: Sampling Distributions

Chapter 10: Introduction to Statistical Inference.

Point Estimation of Parameters and Sampling Distributions Outlines:  Sampling Distributions and the central limit theorem  Point estimation  Methods.

Statistics for Engineer. Statistics  Deals with  Collection  Presentation  Analysis and use of data to make decision  Solve problems and design.

Chapter 5 Sampling Distributions. The Concept of Sampling Distributions Parameter – numerical descriptive measure of a population. It is usually unknown.

Chapter 7: The Distribution of Sample Means. Frequency of Scores Scores Frequency.

Review of Statistical Terms Population Sample Parameter Statistic.

Sampling Theory and Some Important Sampling Distributions.

Chapter II Methods for Describing Sets of Data Exercises.

Sampling Distributions: Suppose I randomly select 100 seniors in Anne Arundel County and record each one’s GPA

6 - 1 © 2000 Prentice-Hall, Inc. Statistics for Business and Economics Sampling Distributions Chapter 6.

Chapter 8 Interval Estimates For Proportions, Mean Differences And Proportion Differences.

MATH Section 4.4.

Week 21 Statistical Model A statistical model for some data is a set of distributions, one of which corresponds to the true unknown distribution that produced.

Chapter 9: Means and Proportions as Random Variables 9.1 Understanding dissimilarity among samples 9.2 Sampling distributions for sample proportions 9.3.

MATH 598: Statistics & Modeling for Teachers June 4, 2014

Sampling and Sampling Distributions

1. According to ______ the larger the sample, the closer the sample mean is to the population mean. (p. 251) Murphy’s law the law of large numbers the.

Basic Business Statistics (8th Edition)

Module 6: Descriptive Statistics

Sampling Distributions

Behavioral Statistics

Sample Mean Distributions

Parameter, Statistic and Random Samples

Statistics in Applied Science and Technology

From Simulations to the Central Limit Theorem

Statistics PSY302 Review Quiz One Fall 2018

STA 291 Spring 2008 Lecture 11 Dustin Lueker.

MATH 2311 Section 4.4.

Sampling Distribution

Sampling Distribution

Why does sampling work?.

Hypothesis Tests Regarding a Parameter

Sampling Distributions

CHAPTER 15 SUMMARY Chapter Specifics

9.3 Sample Means.

Chapter 7: The Distribution of Sample Means

Continuous Random Variables 2

CHAPTER 11: Sampling Distributions

Sample Means Section 9.3.

Sampling Distributions

Warmup Which of the distributions is an unbiased estimator?

Interval Estimation Download this presentation.

Section 9.2: Sample Proportions

Chapter 4 (cont.) The Sampling Distribution

MATH 2311 Section 4.4.

Presentation transcript:

From Simulations to the Central Limit Theorem

Parameter: A number describing a characteristic of the population (usually unknown) Statistic: A number describing a characteristic of a sample. Let’s review some vocabulary

In Inferential Statistics we use the value of a sample statistic to estimate a parameter value. POPULATION: ALL Montgomery College students and estimate their mean height

We want to estimate the mean height of MC students. Will x-bar be equal to mu? What if we had selected another sample? What is the variability of the x-bars about the mean mu? What if we get another sample, will x-bar be the same?

What does the x-bar distribution look like?

How do we investigate the behavior of x-bar? WHY WORRIED ABOUT PROBABILITIES? In inferential statistics we test claims about population means by using probabilities

Graph the x-bar distribution and find its mean and standard deviation