CONFIDENCE INTERVALS USING YOUR GDC Stats 1 with Liz.

Slides:

Advertisements

Similar presentations

Sampling Distributions (§ )

Advertisements

Chapter 11- Confidence Intervals for Univariate Data Math 22 Introductory Statistics.

Objectives Look at Central Limit Theorem Sampling distribution of the mean.

Intro to Statistics for the Behavioral Sciences PSYC 1900 Lecture 9: Hypothesis Tests for Means: One Sample.

1 The Basics of Regression Regression is a statistical technique that can ultimately be used for forecasting.

Copyright (c) Bani K. Mallick1 STAT 651 Lecture #16.

AP Statistics Section 10.2 A CI for Population Mean When is Unknown.

Inferential Statistics

Standard error of estimate & Confidence interval.

Review of normal distribution. Exercise Solution.

Chapter 7 Confidence Intervals and Sample Sizes

1/2555 สมศักดิ์ ศิวดำรงพงศ์

June 18, 2008Stat Lecture 11 - Confidence Intervals 1 Introduction to Inference Sampling Distributions, Confidence Intervals and Hypothesis Testing.

Many times in statistical analysis, we do not know the TRUE mean of a population of interest. This is why we use sampling to be able to generalize the.

Section 8.2 Estimating Population Means (Large Samples) HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2008 by Hawkes Learning Systems/Quant.

Dan Piett STAT West Virginia University

Many times in statistical analysis, we do not know the TRUE mean of a population of interest. This is why we use sampling to be able to generalize the.

Lesson Confidence Intervals: The Basics. Knowledge Objectives List the six basic steps in the reasoning of statistical estimation. Distinguish.

Statistics 101 Chapter 10. Section 10-1 We want to infer from the sample data some conclusion about a wider population that the sample represents. Inferential.

AP STATISTICS LESSON 10 – 1 (DAY 2)

When σ is Unknown The One – Sample Interval For a Population Mean Target Goal: I can construct and interpret a CI for a population mean when σ is unknown.

1 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Estimating a Population Mean: σ Known 7-3, pg 355.

Stat 13, Tue 5/15/ Hand in HW5 2. Review list. 3. Assumptions and CLT again. 4. Examples. Hand in Hw5. Midterm 2 is Thur, 5/17. Hw6 is due Thu, 5/24.

Chapter 7 Estimation Procedures. Basic Logic  In estimation procedures, statistics calculated from random samples are used to estimate the value of population.

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

Determination of Sample Size: A Review of Statistical Theory

Estimation Chapter 8. Estimating µ When σ Is Known.

Unit 6 Confidence Intervals If you arrive late (or leave early) please do not announce it to everyone as we get side tracked, instead send me an .

READING HANDOUT #5 PERCENTS. Container of Beads Container has 4,000 beads 20% - RED 80% - WHITE Sample of 50 beads with pallet. Population - the 4,000.

Estimation of a Population Mean

+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 8: Estimating with Confidence Section 8.2 Estimating a Population Proportion.

Confidence Intervals for the Mean (Small Samples) 1 Larson/Farber 4th ed.

Section 6.1 Confidence Intervals for the Mean (Large Samples) Larson/Farber 4th ed.

Stats Lunch: Day 3 The Basis of Hypothesis Testing w/ Parametric Statistics.

Revision of basic statistics Hypothesis testing Principles Testing a proportion Testing a mean Testing the difference between two means Estimation.

1 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Example: In a recent poll, 70% of 1501 randomly selected adults said they believed.

Review Normal Distributions –Draw a picture. –Convert to standard normal (if necessary) –Use the binomial tables to look up the value. –In the case of.

Confidence Intervals for a Population Mean, Standard Deviation Unknown.

Section 6.2 Confidence Intervals for the Mean (Small Samples) Larson/Farber 4th ed.

Please hand in homework on Law of Large Numbers Dan Gilbert “Stumbling on Happiness”

1 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Example: In a recent poll, 70% of 1501 randomly selected adults said they believed.

Many times in statistical analysis, we do not know the TRUE mean of a population on interest. This is why we use sampling to be able to generalize the.

E STIMATION – C ONFIDENCE I NTERVALS Stats 1 with Liz.

Chapter 9 Estimation and Confidence Intervals. Our Objectives Define a point estimate. Define level of confidence. Construct a confidence interval for.

CHAPTER 8 ESTIMATING WITH CONFIDENCE 8.2 Estimating a Population Proportion Outcome: I will state and check all necessary conditions for constructing a.

Tutorial 11: Hypothesis Testing

CHAPTER 8 Estimating with Confidence

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.

Lecture #23 Tuesday, November 8, 2016 Textbook: 13.1 through 13.4

Estimating Population Means (Large Samples)

Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Fall 2016 Room 150 Harvill Building 10: :50 Mondays, Wednesdays.

Statistical Estimation

Hypothesis Testing for Proportions

Confidence Intervals: The Basics

Week 10 Chapter 16. Confidence Intervals for Proportions

Towson University - J. Jung

Normal Distribution Many things closely follow a Normal Distribution:

Screen Stage Lecturer’s desk Gallagher Theater Row A Row A Row A Row B

Confidence Intervals: The Basics

Confidence Interval Estimation

Confidence Intervals with Proportions

Lecture 10/24/ Tests of Significance

6-3 and 6-4 Quiz Review Pages , #24, 30, 32, 38, 39, 42, 45–46

Introduction to Statistics for the Social Sciences SBS200 - Lecture Section 001, Spring 2019 Room 150 Harvill Building 9:00 - 9:50 Mondays, Wednesdays.

Inverse Normal.

7.3 Hypothesis Testing for the Mean ( unknown)

Interval Estimation Download this presentation.

Objectives 6.1 Estimating with confidence Statistical confidence

STA 291 Spring 2008 Lecture 14 Dustin Lueker.

How Confident Are You?.

Presentation transcript:

CONFIDENCE INTERVALS USING YOUR GDC Stats 1 with Liz

JANUARY 2012, Q7 Questions like this show the importance of knowing your formulae instead of simply relying on your GDC to do all the work for you!

JANUARY 2012, Q7 If this were a normal distribution, then the curve would look like: The distribution cannot be “normal” because it is impossible for someone to earn a negative salary. To get full marks, you must have the description on the left. However, instead of drawing the entire curve, you could simply show:

JANUARY 2012, Q7 You can assume that it is normally distributed because the sample size is large (n = 50), and by the central limit theorem, any sample size above 30 (n > 30) can be assumed to be normal.

JANUARY 2012, Q7 To construct a 99% C.I. we can use the following formula, where z = 2.576: Since we don’t know the population s.d. ( ), we’ll use the sample s.d. ( ) instead. To get a z value in your calculator: MENU STAT DIST (F5) NORM (F1) InvN (F3) Data: Variable Tail: Central (always this with C.I. questions) Area: 0.99 (the percentage or probability you’re given) : 1 (standard normal s.d.) : 0 (standard normal mean) Save Res: None (don’t change this!) EXE

WORKING OUT CONFIDENCE INTERVALS SOLELY IN THE GDC… Before we continue… please be warned! This method is not recommended because if you don’t show any work and you do not get the correct solution, you will gain no method marks. I only use this method to check my solutions! To work out any confidence interval in your calculator: MENU STAT DIST (F5) NORM (F1) InvN (F3) Data: Variable Tail: Central (always this with C.I. questions) Area: 0.99 (the percentage or probability you’re given) : (the standard error ) : 45.8 (sample mean ) Save Res: None (don’t change this!) EXE

JANUARY 2012, Q7 It is unlikely that the annual salaries have an average which exceeds £ because it is above the confidence interval, so this claim can be rejected. The original question stated: which is only 6/50 = 12%, so it can be rejected that more than 25% of such salaries exceeds £ Note: when a confidence interval for an unknown population mean,, does not include the value claimed for, there are grounds for rejecting the claim.

EXPECT A MINI QUIZ OVER ESTIMATION ON TUESDAY. S1 MOCK EXAM HELD ON WEDNESDAY, 29 TH APRIL FROM 2:05PM – 4:10PM IN ROOM C1.5 PLEASE SEE ME IF YOU CANNOT MAKE THIS TIME. FULLY READ YOUR GDC BOOKLET & GO THROUGH ALL EXAMPLES. THIS WILL HELP YOU FOR YOUR EXAM!

DO NOT LEAVE WITHOUT HANDING IN YOUR TEST OVER NORMAL & BINOMIAL DISTRIBUTIONS