Warm Up 1) A 2016 study from the State Department found that 46% of American citizens hold a passport. If repeated samples of 40 American citizens are.

Slides:

Advertisements

Similar presentations

Happiness comes not from material wealth but less desire.

Advertisements

Sampling Distributions and Sample Proportions

Statistics 1: Introduction to Probability and Statistics Section 3-3.

3.3 Toward Statistical Inference. What is statistical inference? Statistical inference is using a fact about a sample to estimate the truth about the.

Sampling Distributions for Proportions Allow us to work with the proportion of successes rather than the actual number of successes in binomial experiments.

Continuous Random Variables and Probability Distributions

Chapter Six Sampling Distributions McGraw-Hill/Irwin Copyright © 2004 by The McGraw-Hill Companies, Inc. All rights reserved.

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

Sample Distribution Models for Means and Proportions

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

From Last week.

Normal Distribution u Note: other distributions –hypergoemetric - sampling with replacement –beta –bimodal –VanGenuchten u Normal Probability Density Function.

AP Statistics Chapter 9 Notes.

In this chapter we will consider two very specific random variables where the random event that produces them will be selecting a random sample and analyzing.

Sampling Variability Sampling Distributions

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.

“Sampling Distributions for Sample Proportions and Sample Means”

Statistics 300: Elementary Statistics Section 6-5.

Section 5.4 Sampling Distributions and the Central Limit Theorem Larson/Farber 4th ed.

Lecture 2 Review Probabilities Probability Distributions Normal probability distributions Sampling distributions and estimation.

Chapter 7: Introduction to Sampling Distributions Section 2: The Central Limit Theorem.

Distribution of the Sample Mean (Central Limit Theorem)

Lecture 11 Dustin Lueker. 2  The larger the sample size, the smaller the sampling variability  Increasing the sample size to 25… 10 samples of size.

Section 6-5 The Central Limit Theorem. THE CENTRAL LIMIT THEOREM Given: 1.The random variable x has a distribution (which may or may not be normal) with.

§ 5.3 Normal Distributions: Finding Values. Probability and Normal Distributions If a random variable, x, is normally distributed, you can find the probability.

Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Section 6-4 Sampling Distributions and Estimators.

Chapter 18 - Part 2 Sampling Distribution Models for.

Chapter 18: The Central Limit Theorem Objective: To apply the Central Limit Theorem to the Normal Model CHS Statistics.

Central Limit Theorem Let X 1, X 2, …, X n be n independent, identically distributed random variables with mean  and standard deviation . For large n:

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

Lecture 10 Dustin Lueker.  The z-score for a value x of a random variable is the number of standard deviations that x is above μ ◦ If x is below μ, then.

7.2 Sample Proportions Objectives SWBAT: FIND the mean and standard deviation of the sampling distribution of a sample proportion. CHECK the 10% condition.

Section 8.3 The Sampling Distribution of the Sample Proportion.

Warm Up The average amount of meat that an American consumes per year is lbs. Assume that the standard deviation is 25 and that the distribution.

Ch5.4 Central Limit Theorem

Lecture Slides Essentials of Statistics 5th Edition

Chapter 7 Review.

Ch. 18 – Sampling Distribution Models (Day 1 – Sample Proportions)

Statistical Reasoning for everyday life

Chapter 4 Section 4.4 Sampling Distribution Models

Central Limit Theorem Sample Proportions.

Sampling Distributions

Section 9.2 – Sample Proportions

Introduction to Sampling Distributions

Sampling Distributions

Warm Up A recent study found that 79% of U.S. teens from years old use Snapchat. Suppose samples of 100 U.S. teens from years old are taken.

Warm Up 1) A 2016 study from the State Department found that 46% of American citizens hold a passport. If repeated samples of 40 American citizens are.

WARM -UP Through data compiled by the auto industry 12% of Americans are planning on buying a hybrid. A recent national poll randomly asked 500 adults.

CHAPTER 7 Sampling Distributions

Distribution of the Sample Proportion

Sampling Distribution

Sampling Distribution

Warm-up A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed with a mean of 90 km/hr and a standard deviation.

SWBAT: Review sampling distributions of sample proportions and means

CHAPTER 7 Sampling Distributions

Warm Up Imagine a family has three children. 1) What is the probability the family has: 3 girls and 0 boys 2 girls and 1 boy 1 girl and 2 boys 0 girls.

Warm Up A recent study found that 79% of U.S. teens from years old use Snapchat. Suppose samples of 100 U.S. teens from years old are taken.

Sampling Distribution of the Mean

Warm Up Your textbook provides the following data on the height of men and women. Mean Std. Dev Men Women ) What is the z score.

Warm Up Industrial quality control programs often inspect a small sample of incoming parts. If any parts in the sample are found to be defective, the shipment.

CHAPTER 7 Sampling Distributions

Suppose that the random variable X has a distribution with a density curve that looks like the following: The sampling distribution of the mean of.

CHAPTER 7 Sampling Distributions

CHAPTER 7 Sampling Distributions

CHAPTER 7 Sampling Distributions

CHAPTER 7 Sampling Distributions

Sampling Distributions

Sampling Variability Sampling Distributions

Section 9.2: Sample Proportions

Presentation transcript:

Warm Up 1) A 2016 study from the State Department found that 46% of American citizens hold a passport. If repeated samples of 40 American citizens are taken, what is the mean and standard deviation for the number of American citizens that would hold a passport in these samples? 2) Can we approximate the distribution of the number of American citizens found to have a passport in the samples in (1) as normal? Why or why not?

Example In 2016 there were 21,306 undergraduates at Cal-Poly, San Luis Obispo. Of these 10,059 (47.2%) were women. What is the probability a random sample of 150 students will have a proportion of women greater than or equal to 0.50?

Practice A Pew Research Center study from 2016 found that 31% of Americans own a gun. Imagine a random survey is taken of 1500 Americans. 1) What is the mean and standard deviation of the sampling distribution of the sample proportions of Americans who own a gun in samples of 1500? 2) Is it reasonable to use a normal approximation for the sampling distribution? 3) Find the probability that a sample proportion is between 0.28 and 0.34.