Final Jeopardy $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 LosingConfidenceLosingConfidenceTesting.

Slides:

Advertisements

Similar presentations

© 2013 Pearson Education, Inc. Active Learning Lecture Slides For use with Classroom Response Systems Introductory Statistics: Exploring the World through.

Advertisements

Inferential Statistics & Hypothesis Testing

Business 205. Review Sampling Continuous Random Variables Central Limit Theorem Z-test.

The Normal Distribution. n = 20,290  =  = Population.

Hypothesis Testing Steps of a Statistical Significance Test. 1. Assumptions Type of data, form of population, method of sampling, sample size.

DATA ANALYSIS I MKT525. Plan of analysis What decision must be made? What are research objectives? What do you have to know to reach those objectives?

Hypothesis : Statement about a parameter Hypothesis testing : decision making procedure about the hypothesis Null hypothesis : the main hypothesis H 0.

Today Today: Chapter 10 Sections from Chapter 10: Recommended Questions: 10.1, 10.2, 10-8, 10-10, 10.17,

Lecture 13: Review One-Sample z-test and One-Sample t-test 2011, 11, 1.

Tuesday, October 22 Interval estimation. Independent samples t-test for the difference between two means. Matched samples t-test.

S519: Evaluation of Information Systems

 What is t test  Types of t test  TTEST function  T-test ToolPak 2.

Chapter 11: Inference for Distributions

Chapter 9 Hypothesis Testing.

Hypothesis Testing Using The One-Sample t-Test

Chapter 9 Hypothesis Testing II. Chapter Outline  Introduction  Hypothesis Testing with Sample Means (Large Samples)  Hypothesis Testing with Sample.

Estimation Goal: Use sample data to make predictions regarding unknown population parameters Point Estimate - Single value that is best guess of true parameter.

AM Recitation 2/10/11.

Hypothesis Testing:.

Probability Distributions and Test of Hypothesis Ka-Lok Ng Dept. of Bioinformatics Asia University.

Two Sample Tests Ho Ho Ha Ha TEST FOR EQUAL VARIANCES

II.Simple Regression B. Hypothesis Testing Calculate t-ratios and confidence intervals for b 1 and b 2. Test the significance of b 1 and b 2 with: T-ratios.

Slide 23-1 Copyright © 2004 Pearson Education, Inc.

Sullivan – Fundamentals of Statistics – 2 nd Edition – Chapter 11 Section 2 – Slide 1 of 25 Chapter 11 Section 2 Inference about Two Means: Independent.

T-distribution & comparison of means Z as test statistic Use a Z-statistic only if you know the population standard deviation (σ). Z-statistic converts.

Copyright © 2012 Wolters Kluwer Health | Lippincott Williams & Wilkins Chapter 17 Inferential Statistics.

Confidence Intervals for Means. point estimate – using a single value (or point) to approximate a population parameter. –the sample mean is the best point.

Chapter 9 Hypothesis Testing and Estimation for Two Population Parameters.

One Sample Inf-1 If sample came from a normal distribution, t has a t-distribution with n-1 degrees of freedom. 1)Symmetric about 0. 2)Looks like a standard.

Student’s t-distributions. Student’s t-Model: Family of distributions similar to the Normal model but changes based on degrees-of- freedom. Degrees-of-freedom.

Normal Distributions Z Transformations Central Limit Theorem Standard Normal Distribution Z Distribution Table Confidence Intervals Levels of Significance.

Jeopardy Statistics Edition. Terms Calculator Commands Sampling Distributions Confidence Intervals Hypothesis Tests: Proportions Hypothesis Tests: Means.

Statistical Hypotheses & Hypothesis Testing. Statistical Hypotheses There are two types of statistical hypotheses. Null Hypothesis The null hypothesis,

Large sample CI for μ Small sample CI for μ Large sample CI for p

Chapter 7 Inferences Based on a Single Sample: Tests of Hypotheses.

McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Chapter 8 Hypothesis Testing.

Interval Estimation and Hypothesis Testing Prepared by Vera Tabakova, East Carolina University.

Chapter 8 Parameter Estimates and Hypothesis Testing.

MeanVariance Sample Population Size n N IME 301. b = is a random value = is probability means For example: IME 301 Also: For example means Then from standard.

1 CHAPTER 4 CHAPTER 4 WHAT IS A CONFIDENCE INTERVAL? WHAT IS A CONFIDENCE INTERVAL? confidence interval A confidence interval estimates a population parameter.

Ex St 801 Statistical Methods Inference about a Single Population Mean.

Chapter 9: Testing Hypotheses Overview Research and null hypotheses One and two-tailed tests Type I and II Errors Testing the difference between two means.

One-Sample Hypothesis Tests Chapter99 Logic of Hypothesis Testing Statistical Hypothesis Testing Testing a Mean: Known Population Variance Testing a Mean:

Monday, October 22 Hypothesis testing using the normal Z-distribution. Student’s t distribution. Confidence intervals.

1 URBDP 591 A Lecture 12: Statistical Inference Objectives Sampling Distribution Principles of Hypothesis Testing Statistical Significance.

Mystery 1Mystery 2Mystery 3.

Hypothesis Testing Errors. Hypothesis Testing Suppose we believe the average systolic blood pressure of healthy adults is normally distributed with mean.

AP Statistics Unit 5 Addie Lunn, Taylor Lyon, Caroline Resetar.

© Copyright McGraw-Hill 2004

- We have samples for each of two conditions. We provide an answer for “Are the two sample means significantly different from each other, or could both.

Statistical Inference Drawing conclusions (“to infer”) about a population based upon data from a sample. Drawing conclusions (“to infer”) about a population.

Point Estimates point estimate A point estimate is a single number determined from a sample that is used to estimate the corresponding population parameter.

Statistical Inference Statistical inference is concerned with the use of sample data to make inferences about unknown population parameters. For example,

Sampling Distribution (a.k.a. “Distribution of Sample Outcomes”) – Based on the laws of probability – “OUTCOMES” = proportions, means, test statistics.

Monday, October 21 Hypothesis testing using the normal Z-distribution. Student’s t distribution. Confidence intervals.

ESTIMATION OF THE MEAN. 2 INTRO :: ESTIMATION Definition The assignment of plausible value(s) to a population parameter based on a value of a sample statistic.

Ex St 801 Statistical Methods Inference about a Single Population Mean (CI)

Lec. 19 – Hypothesis Testing: The Null and Types of Error.

GOSSET, William Sealy How shall I deal with these small batches of brew?

T-TEST. Outline  Introduction  T Distribution  Example cases  Test of Means-Single population  Test of difference of Means-Independent Samples 

Chapter 7 Statistics Power Point Review Hypothesis Testing.

Part 1: Chapters 7 to 9. 95% within 2 standard deviations 68% within 1 standard deviations 99.7% within 3 standard deviations.

STAT 312 Chapter 7 - Statistical Intervals Based on a Single Sample

Problems: Q&A chapter 6, problems Chapter 6:

Monday, October 19 Hypothesis testing using the normal Z-distribution.

Estimation Goal: Use sample data to make predictions regarding unknown population parameters Point Estimate - Single value that is best guess of true parameter.

Hypothesis Testing.

Part /11/22 Vincent Guillemot

Presentation transcript:

Final Jeopardy $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 LosingConfidenceLosingConfidenceTesting my patience Testing Tell me a tail Tell me a tail SampleThisSampleThisPot-pouriPot-pouri

Final Jeopardy For $100… The Answer is… This is half the width of the confidence interval. What is the margin of error?

Final Jeopardy For $200… The Answer is… This is the probability that the true mean is captured by the confidence interval. What is the confidence level? :01 :01 :01

Final Jeopardy For $300… The Answer is… The margin of error gets smaller as this gets larger. What is the sample size?

Final Jeopardy For $400… The Answer is… If the standard deviations are unknown when finding the confidence interval for the difference between two groups, we would use this type of confidence interval. What is a two sample t-interval?

Final Jeopardy For $500… The Answer is… This states that if x is from any distribution, the sample mean of x has an approximately normal distribution. What is the Central Limit Theorem?

Final Jeopardy For $100… The Answer is… This is a statement of fact, equality, or of the status quo. What is the null hypothesis?

Final Jeopardy For $200… The Answer is… This is the probability at which we consider something a rare event. What is the significance level?

Final Jeopardy For $300… The Answer is… Reject the null hypothesis in favor of the alternative when this is less than the significance level. What is the p-value?

Final Jeopardy For $400… The Answer is… This is the distance and direction, in terms of standard deviations, that a sample mean is from a hypothesized mean. What is the test statistic?

Final Jeopardy For $500… The Answer is… This is the probability of a type I error. That is, the probability we reject the null hypothesis when it is in fact true. What is alpha, or the significance level?

Final Jeopardy For $100… The Answer is… This is tail of the test that we would use if we believed the true mean would be larger than the hypothesized mean. What is a right tailed test?

Final Jeopardy For $200… The Answer is… This is the area in the tail(s) that is beyond the critical values. What is the significance level or alpha?

Final Jeopardy For $300… The Answer is… This is the area in the tail(s) beyond the value of the test statistic. What is the p-value?

Final Jeopardy For $400… The Answer is… A confidence interval most closely relates to this type of test. What is a two-tailed test?

Final Jeopardy For $500… The Answer is… This is the smallest significance level, alpha, at which we can reject the null hypothesis. What is the p-value?

Final Jeopardy For $100… The Answer is… This is the standard deviation of the sample mean. What is the standard error or σ/  (n)?

Final Jeopardy For $200… The Answer is… This is the distribution we must use if the true standard deviation is unknown. What is the t-distribution?

Final Jeopardy For $300… The Answer is… What is the expected value of the sample mean? What is the true mean?

Final Jeopardy For $400… The Answer is… This is the error in using a statistic to estimate a parameter. What is sampling error?

Final Jeopardy For $500… The Answer is… This parameter completely defines a t-distribution. Equivalently, this is the information we need to find probabilities for a t-distribution. What are degrees of freedom?

Final Jeopardy For $100… The Answer is… We would use this type of hypothesis test to test for a difference between two groups with different, unknown standard deviations. What is a non-pooled two sample t-test?

Final Jeopardy For $200… The Answer is… We would use this inferential procedure if we wanted a probable range for a value of the true mean. What is a confidence interval?

Final Jeopardy For $300… The Answer is… For comparing two populations using a sample of size 50 from the first population and a sample of size 72 from the second, this is the number degrees of freedom that we would use to compare these two populations using the t distribution. What is 49?

Final Jeopardy For $400… The Answer is… What is the value at the center of the confidence interval What is the sample mean?

Final Jeopardy For $500… The Answer is… This is the pseudonym under which William Gosset published while working for the Guiness Brewery What is Student?

Final Jeopardy For $1000 and the game… The Answer is… For two populations we find two separate samples. For sample one, the sample size, mean and variance are 21, 51.48, and , respectively. For sample two, the sample size, mean and variance are 23, 41.52, and , respectively. This is the test statistic and decision for a test that these populations have different means at  =.05. What is t=2.31 and reject the null since critical value is 2.086? FINAL JEOPARDY

Final Jeopardy Congratulations CONGRATULATIONS!!!