“Forward” vs “Reverse”

Slides:



Advertisements
Similar presentations
Normal Distribution 2 To be able to transform a normal distribution into Z and use tables To be able to use normal tables to find and To use the normal.
Advertisements

Chapter – 5.4: The Normal Model
Race Car Integers October 18, Race Car Rules / Positive numbers mean “forward” / Negative numbers mean “reverse” / Add means “keep going” / Subtract.
Middle on the Normal distribution. Z = =.1003 What is going on here? It is just an exercise in using.
NORMAL CURVE Needed for inferential statistics. Find percentile ranks without knowing all the scores in the distribution. Determine probabilities.
Samples vs. Distributions Distributions: Discrete Random Variable Distributions: Continuous Random Variable Another Situation: Sample of Data.
Chapter 4 The Normal Distribution EPS 625 Statistical Methods Applied to Education I.
Chapter 5 The Normal Curve and Standard Scores EPS 525 Introduction to Statistics.
Normal Distributions What is a Normal Distribution? Why are Many Variables Normally Distributed? Why are Many Variables Normally Distributed? How Are Normal.
z-Scores What is a z-Score? How Are z-Scores Useful? Distributions of z-Scores Standard Normal Curve.
Chris Morgan, MATH G160 March 2, 2012 Lecture 21
The Normal Model Ch. 6. “All models are wrong – but some are useful.” -- George Box.
AP Statistics Overview and Basic Vocabulary. Key Ideas The Meaning of Statistics Quantitative vs. Qualitative Data Descriptive vs. Inferential Statistics.
Sullivan – Fundamentals of Statistics – 2 nd Edition – Chapter 9 Section 1 – Slide 1 of 39 Chapter 9 Section 1 The Logic in Constructing Confidence Intervals.
Estimating Population Parameters Mean Variance (and standard deviation) –Degrees of Freedom Sample size –1 –Sample standard deviation –Degrees of confidence.
Section 2.5 The Normal Distribution.  68% of values lie within 1 SD of the mean.  Including to the right and left  90% of the values lie with
Answering Descriptive Questions in Multivariate Research When we are studying more than one variable, we are typically asking one (or more) of the following.
The Normal Curve Packet #23. Normal Curve  Referred to as a bell- shaped curve  Perfect mesokurtic distribution.
Normal Distributions. Slide #2 EDA Steps Univariate EDA –Graphically –Numerically –Model.
Quantitative Data1 1. Numbers 2. Counts 3. Measurements Quantitative Data1.
AP Review #3: Continuous Probability (The Normal Distribution)
M21- Scatterplots 1  Department of ISM, University of Alabama, Lesson Objectives  Learn to visually assess the relationship between two quantitative.
IE(DS)1 Many of the measures that are of interest in psychology are distributed in the following manner: 1) the majority of scores are near the mean 2)
The Standard Normal Distribution Section 5.2. The Standard Score The standard score, or z-score, represents the number of standard deviations a random.
§ 5.3 Normal Distributions: Finding Values. Probability and Normal Distributions If a random variable, x, is normally distributed, you can find the probability.
THE NORMAL DISTRIBUTION AND Z- SCORES Areas Under the Curve.
The Normal Distribution
The Normal distribution and z-scores
The Abnormal Distribution
Honors Advanced Algebra Presentation 1-6. Vocabulary.
The Normal Distribution: Comparing Apples and Oranges.
SUMMARIZING QUANTITATIVE DATA.
Unit 4: Normal Distributions Part 2 Statistics. Focus Points Given mean μ and standard deviation σ, convert raw data into z-scores Given mean μ and standard.
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.
Discrete Math Section 17.4 Recognize various types of distributions. Apply normal distribution properties. A normal distribution is a bell shaped curve.
15.5 The Normal Distribution. A frequency polygon can be replaced by a smooth curve A data set that is normally distributed is called a normal curve.
Section 2 Standard Units and Areas under the Standard Normal Distribution.
Objective: To find probability using standard normal distribution.
Types of variables Discrete VS Continuous Discrete Continuous
LECTURE 23 THURSDAY, 12 November
Chapter 7 The Normal Probability Distribution
CHAPTER 2 Modeling Distributions of Data
Continuous Random Variables
Finding Percentages with z-scores
Quadratic Function Model
Is this data truly linear?
Term 1 Week 5 Warm Ups.
2.2 Continued
Other Normal Distributions
Standard Normal Calculations
Sample vs Population comparing mean and standard deviations
Non-Normal Data Distributions
Section 2.3 HISTROGRAM.
Welcome to Algebra II Mr. Power Room 315.
Normal and Skewed distributions
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.
Distribution Model A smooth representation of the distribution of ALL individuals in the POPULATION Quantitative Value
Warm Up The weights of babies born in the “normal” range of weeks have been found to follow a roughly normal distribution. Mean Std. Dev Weight.
Quantitative Methods PSY302 Quiz Normal Curve Review February 6, 2017
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.
The estimate of the proportion (“p-hat”) based on the sample can be a variety of values, and we don’t expect to get the same value every time, but the.
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.
Hananto Normal Distribution Hananto
Putting Statistics to Work
Central Limit Theorem cHapter 18 part 2.
Correlation Vs. Causation
Continuous Random Variables
STAB22 Midterm Review Seminar
Homework: pg. 500 #41, 42, 47, )a. Mean is 31 seconds.
SCATTERPLOTS.
Presentation transcript:

“Forward” vs “Reverse” Know Find Value Of Variable (X) Proportion Of Individuals (area) Forward Proportion Of Individuals (area) Value Of Variable (X) Reverse Normal Distributions

“Forward” vs “Reverse” Quantitative Value 3 -3 2 -2 -1 Quantitative Value 3 -3 2 -2 -1 ? 0.16 1 1 1 ? Normal Distributions

What Type Of Question? What proportion of students will score between 70 and 90 on the next exam? What is the test score such that 15% of the students score higher? What is the gas mileage that has 25% of the cars lower? What proportion of cars get more than 20 mpg? What are the two heights that contain the most common 50% of professor’s heights? Forward -Between Reverse – Right of Reverse – Left of Forward - Right of Reverse - Between Normal Distributions