Click to edit Master title style Homework 1 due today by 5pm…

Slides:

Advertisements

Similar presentations

Chapter 6 – Normal Probability Distributions

Advertisements

Psych 5500/6500 The Sampling Distribution of the Mean Fall, 2008.

Statistics for the Behavioral Sciences

Probability Probability; Sampling Distribution of Mean, Standard Error of the Mean; Representativeness of the Sample Mean.

Chapter 18 Sampling Distribution Models

Central Limit Theorem.

Overview Revising z-scores Revising z-scores Interpreting z-scores Interpreting z-scores Dangers of z-scores Dangers of z-scores Sample and populations.

THE MEANING OF STATISTICAL SIGNIFICANCE: STANDARD ERRORS AND CONFIDENCE INTERVALS.

Topics: Inferential Statistics

NORMAL CURVE Needed for inferential statistics. Find percentile ranks without knowing all the scores in the distribution. Determine probabilities.

Sampling Distributions

Statistics for the Social Sciences Psychology 340 Fall 2006 Hypothesis testing.

Confidence Intervals Confidence Interval for a Mean

S519: Evaluation of Information Systems

Chapter 12 Inferring from the Data. Inferring from Data Estimation and Significance testing.

Statistics and Quantitative Analysis U4320 Segment 4: Statistics and Quantitative Analysis Prof. Sharyn O’Halloran.

Measures of Variability: Range, Variance, and Standard Deviation

Six Sigma Training Dr. Robert O. Neidigh Dr. Robert Setaputra.

Chapter 4 SUMMARIZING SCORES WITH MEASURES OF VARIABILITY.

Confidence Intervals. Estimating the difference due to error that we can expect between sample statistics and the population parameter.

Jeopardy Hypothesis Testing T-test Basics T for Indep. Samples Z-scores Probability $100 $200$200 $300 $500 $400 $300 $400 $300 $400 $500 $400.

© Copyright McGraw-Hill CHAPTER 6 The Normal Distribution.

Normal Curves and Sampling Distributions

The normal distribution

STA Lecture 161 STA 291 Lecture 16 Normal distributions: ( mean and SD ) use table or web page. The sampling distribution of and are both (approximately)

Confidence Intervals Confidence Interval for a Mean

AP Statistics Chapter 9 Notes.

COMM 250 Agenda - Week 12 Housekeeping RP2 Due Wed. RAT 5 – Wed. (FBK 12, 13) Lecture Experiments Descriptive and Inferential Statistics.

Measures of Variability Objective: Students should know what a variance and standard deviation are and for what type of data they typically used.

NOTES The Normal Distribution. In earlier courses, you have explored data in the following ways: By plotting data (histogram, stemplot, bar graph, etc.)

Random Variables Numerical Quantities whose values are determine by the outcome of a random experiment.

Rule of sample proportions IF:1.There is a population proportion of interest 2.We have a random sample from the population 3.The sample is large enough.

Chapter 6.1 Normal Distributions. Distributions Normal Distribution A normal distribution is a continuous, bell-shaped distribution of a variable. Normal.

Normal Curves and Sampling Distributions Chapter 7.

Click to edit Master title style Yesterday – looking ahead… Two types of wrong actions.

Bias and Variability Lecture 38 Section 8.3 Wed, Mar 31, 2004.

1 Lecture note 4 Hypothesis Testing Significant Difference ©

7.4 – Sampling Distribution Statistic: a numerical descriptive measure of a sample Parameter: a numerical descriptive measure of a population.

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

Chapter 6 The Normal Distribution. A continuous, symmetric, bell-shaped distribution of a variable.

Distribution of the Sample Means

Sampling Distribution and the Central Limit Theorem.

The Central Limit Theorem and the Normal Distribution.

Determination of Sample Size: A Review of Statistical Theory

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

1.State your research hypothesis in the form of a relation between two variables. 2. Find a statistic to summarize your sample data and convert the above.

Click to edit Master title style Today’s Lecture Descriptive Statistics: Measures of Central Tendency And Measures of Variability.

Thursday August 29, 2013 The Z Transformation. Today: Z-Scores First--Upper and lower real limits: Boundaries of intervals for scores that are represented.

Click to edit Master title style Events Homework 1 Answer Keys are available (‘Homework’ link). More practice questions will be posted tonight (‘Homework’

Aron, Aron, & Coups, Statistics for the Behavioral and Social Sciences: A Brief Course (3e), © 2005 Prentice Hall Chapter 6 Hypothesis Tests with Means.

Click to edit Master title style A-90%A91-98%A+100% B-80%B81-88%B+89% C-70%C71-78%C+79% D-60%D61-68%D+69% F0-58%F+59% 40 points possible Mean: 82.5 Mean:

Section 6.3: How to See the Future Goal: To understand how sample means vary in repeated samples.

This Week Homework 2 parts 1 and 2 due by 5pm today. Answer keys posted tonight. Midterm 2 on Thursday, bring 8 ½ by 11 inch note sheet. No calculator.

Chapter 3 The Normal Distributions. Chapter outline 1. Density curves 2. Normal distributions 3. The rule 4. The standard normal distribution.

Review of Statistical Terms Population Sample Parameter Statistic.

From the population to the sample The sampling distribution FETP India.

Sec 6.3 Bluman, Chapter Review: Find the z values; the graph is symmetrical. Bluman, Chapter 63.

Recall on whiteboards What type of data is the normal distribution used to model? Discrete or continuous? About what percentage of the data values will.

Confidence Intervals. Point Estimate u A specific numerical value estimate of a parameter. u The best point estimate for the population mean is the sample.

Monday, September 27 More basics.. _ “Life is a series of samples, you can infer the truth from the samples but you never see the truth.”

Construction Engineering 221 Probability and statistics Normal Distribution.

Objective: To find probability using standard normal distribution.

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.

Chapter 9 Hypothesis Testing

CHAPTER 22: Inference about a Population Proportion

Sampling Distribution

Sampling Distribution

Measures of Dispersion (Spread)

Statistics PSY302 Review Quiz One Spring 2017

Chapter 4 (cont.) The Sampling Distribution

Presentation transcript:

Click to edit Master title style Homework 1 due today by 5pm…

Click to edit Master title style Your First Hypothesis Test: Is the Coin Biased towards HEADS? Go to stat217.com, ‘stats link’ page. Find: Coin Flipping Hypothesis Test Read the instructions then Click the Link.

Click to edit Master title style Inferential Statistics: Step One If you were to run your experiment over and over again, how much variability would there be in the sample means that you get? How surprised should I be about my data if my Research Hypothesis is FALSE?

Click to edit Master title style Demo Program 5 Go to stat217.com, ‘stats link’ page. Click on “Download Demo Program 5”. Save the ‘zip’ file. Find it on your PC and click on it. EXTRACT THE FILES!!!! Click on “0 Click to Start Living the Lecture Part 5.exe”. Try the program. Do you understand the difference between the population mean or standard deviation and mean or standard deviation of the sampling distribution of the mean? What is the effect of changing the sample size of the experiment on these values?

Click to edit Master title style The Sampling Distribution of the Mean If you run your experiment over and over again, the mean of the sample means will be equal to the population mean.

Click to edit Master title style The Mean of the Sampling Distribution of the Mean

Click to edit Master title style The Standard Deviation of the Sampling Distribution of the Mean If you run your experiment over and over again, the standard deviation of the sample means will be equal to the standard deviation of the population divided by the square root of the sample size.

Click to edit Master title style The Standard Error of the Mean (The standard deviation of the sampling distribution of the mean) Instructor’s Note: Many problems will require you to compute (or think of) this new standard deviation. MANY students forget to divide by the square root of n.

Click to edit Master title style The Sampling Distribution of the Mean If you run your experiment over and over again, the distribution of the sample means will (probably) be a bell-shaped curve (the Normal Distribution).

Click to edit Master title style Inferential Statistics: Next Step

Click to edit Master title style The Normal DistributionNormalDistribution Describes a Population Is unimodal, symmetric Is “Bell-shaped” Has TWO parameters: ,  (remember this!)

Click to edit Master title style Normal distributions are lumps of clay (of same quantity). tall and skinny short and fat Other Important Facts: 1. They never actually touch the X-axis -- so every score is possible, from to

Click to edit Master title style Normal distributions are lumps of clay (of same size). tall and skinny short and fat Other Important Facts: 2. The total area underneath them is always 1.

Click to edit Master title style Very Important Fact About Normal Distributions The area under the curve between the mean and any other point (left or right) depends only on the number of standard deviations between these two points.

Click to edit Master title style Very Important Fact About Normal Distributions The number of standard deviations between the mean and any other possible score (any ‘raw’ score) is the “z score” for this other (raw) score.

Click to edit Master title style Web Exercise Sample Statistics are estimates of Population Statistics. Complete at least 3 problems to get credit for the exercise. Save money to compete for your country (and win “special” prizes…). Log in as a Guest to practice if you like….