Below is a density curve. The height of the density curve is

Slides:



Advertisements
Similar presentations
Percentiles and the Normal Curve
Advertisements

Normal Distribution; Sampling Distribution; Inference Using the Normal Distribution ● Continuous and discrete distributions; Density curves ● The important.
The Normal Distribution
The Normal distributions BPS chapter 3 © 2006 W.H. Freeman and Company.
Why is the term (n-1) used in the denominator of the formula for sample variance? (A) There are (n-1) observations. (B) There are (n-1) uncorrelated pieces.
Normal distribution. An example from class HEIGHTS OF MOTHERS CLASS LIMITS(in.)FREQUENCY
Chapter 6: Standard Scores and the Normal Curve
Standard Normal Table Area Under the Curve
Statistics Lecture 14. Example Consider a rv, X, with pdf Sketch pdf.
Normal Distribution Z-scores put to use!
Chapter 11: Random Sampling and Sampling Distributions
Objectives (BPS 3) The Normal distributions Density curves
LSP 121 Normal Distributions.
1 Applied Calculus II Confidence Tests Slides subject to change.
Statistics: Concepts and Controversies Normal Distributions
Normal Distributions Section Starter A density curve starts at the origin and follows the line y = 2x. At some point on the line where x = p, the.
Statistics Sampling Distributions
The Normal distributions BPS chapter 3 © 2006 W.H. Freeman and Company.
1 Normal Random Variables In the class of continuous random variables, we are primarily interested in NORMAL random variables. In the class of continuous.
5.1 What is Normal? LEARNING GOAL Understand what is meant by a normal distribution and be able to identify situations in which a normal distribution is.
Section 2.2, Part 1 Standard Normal Calculations AP Statistics Berkley High School/CASA.
AP Statistics 9.3 Sample Means.
And the Rule THE NORMAL DISTRIBUTION. SKEWED DISTRIBUTIONS & OUTLIERS.
Density Curves Can be created by smoothing histograms ALWAYS on or above the horizontal axis Has an area of exactly one underneath it Describes the proportion.
AP Statistics Monday, 21 September 2015 OBJECTIVE TSW examine density curves, z-scores, Chebyshev’s Rule, normal curves, and the empirical rule. ASSIGNMENT.
Please turn off cell phones, pagers, etc. The lecture will begin shortly. There will be a quiz at the end of today’s lecture. Friday’s lecture has been.
Copyright © 2013, 2009, and 2007, Pearson Education, Inc. Chapter 6 Probability Distributions Section 6.2 Probabilities for Bell-Shaped Distributions.
1 The Normal Distribution William P. Wattles Psychology 302.
The Normal distributions BPS chapter 3 © 2006 W.H. Freeman and Company.
Chapter 5: z-Scores x = 76 (a) X = 76 is slightly below average x = 76 (b) X = 76 is slightly above average 3 70 x = 76 (c) X = 76 is far.
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)
If f (x) is the probability density function for the blood cholesterol level of men over the age of 40, where x is measured in milligrams per deciliter,
Chapter 9 Review Game. Question 1  On a scale of 1 to 10, ratings about school cafeteria food have a mean of 4.2 and a standard deviation of 1.6. If.
Practice Page 128 –#6.7 –#6.8 Practice Page 128 –#6.7 =.0668 = test scores are normally distributed –#6.8 a =.0832 b =.2912 c =.4778.
Vocab Normal, Standard Normal, Uniform, t Point Estimate Sampling distribution of the means Confidence Interval Confidence Level / α.
NOTES: page 26. Suppose you take the SAT test and the ACT test. Not using the chart they provide, can you directly compare your SAT Math score to your.
The Normal Distribution Chapter 2 Continuous Random Variable A continuous random variable: –Represented by a function/graph. –Area under the curve represents.
6.2 – USE NORMAL DISTRIBUTIONS Unit 6 – Data Analysis and Probability.
Chapter 131 Normal Distributions. Chapter 132 Thought Question 2 What does it mean if a person’s SAT score falls at the 20th percentile for all people.
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.
MATH 2311 Review for Exam 2.
z-Scores, the Normal Curve, & Standard Error of the Mean
Interpreting Center & Variability.
Normal Distribution.
U6 - DAY 2 WARM UP! Given the times required for a group of students to complete the physical fitness obstacle course result in a normal curve, and that.
Interpreting Center & Variability.
z-Scores, the Normal Curve, & Standard Error of the Mean
The Normal Distribution
Normal Distribution Many things closely follow a Normal Distribution:
Interpreting Center & Variability.
MATH Review for Exam 2.
Empirical Rule Rule Ch. 6 Day 3 AP Statistics
Definitions of Abnormality
U6 - DAY 2 WARM UP! Given the times required for a group of students to complete the physical fitness obstacle course result in a normal curve, and that.
Many of the measures that are of interest
Interpreting Center & Variability.
Empirical Rule MM3D3.
The Normal Distribution
Quantitative Methods PSY302 Quiz Normal Curve Review February 6, 2017
Section 2.2 Standard Normal Calculations
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.
Normal Curve 10.3 Z-scores.
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.
The Normal Distribution
The Normal Distribution
Chapter 5: z-Scores.
Normal Distributions 11-Ext Lesson Presentation Holt Algebra 2.
6.2 Use Normal Distributions
Continuous Random Variables
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.
Presentation transcript:

Below is a density curve. The height of the density curve is 1 2 1/2

The density curve below has a triangular distribution The density curve below has a triangular distribution. What is the value of h that makes this a true density curve? 2/3 3/2 1/2

Insufficient information The heights of women are normally distributed with a mean of 65 inches and an SD of 2.5 inches. The heights of men are also normal with a mean of 70 inches. What percent of women are taller than a man of average height? 2.5% 5% 10% Insufficient information

Many psychological disorders (e. g Many psychological disorders (e.g. Depression, ADHD) are based on the application of the 2 SD rule assuming a normal distribution of reported symptoms. This means that anyone who reports a symptom count that exceeds the 2 SD point in a normal population can be considered to be “abnormal” or “disordered”. Given this definition of “disorder”, what is expected prevalence rate of these disorders based on the 2 SD rule? 1% 2.5% 5% 10%

The University of Oklahoma has changed its admission standards to require an ACT-score of 26. We know the ACT is normally distributed with a mean of 21 and an SD of 5. If we sample 100 students who took the ACT at random, how many would be expected to qualify for admission to OU? 5 16 25 42 None of the above

The time for students to complete a standardized placement exam given to college freshman has a normal distribution with a mean of 62 minutes and a standard deviation of 8 minutes. If students are given one hour to complete the exam, the proportion of students who will complete the exam is about 0.25 0.40 0.60

Answers to slides C A B or C, depending upon the type of mental disorder B