Active Learning Lecture Slides For use with Classroom Response Systems Probability Distributions.

Slides:



Advertisements
Similar presentations
Chapter – 5.4: The Normal Model
Advertisements

The Normal Curve and Z-scores Using the Normal Curve to Find Probabilities.
Slide 3- 1 Copyright © 2010 Pearson Education, Inc. Active Learning Lecture Slides For use with Classroom Response Systems Business Statistics First Edition.
Introductory Statistics: Exploring the World through Data, 1e
NORMAL CURVE Needed for inferential statistics. Find percentile ranks without knowing all the scores in the distribution. Determine probabilities.
Statistics Lecture 15. Percentile for Normal Distributions The 100p th percentile of the N( ,  2 ) distribution is  +  (p)  Where  (p) is.
Statistics Lecture 14. Example Consider a rv, X, with pdf Sketch pdf.
Chapter 4 The Normal Distribution EPS 625 Statistical Methods Applied to Education I.
Lecture 8: z-Score and the Normal Distribution 2011, 10, 6.
Normal Distributions What is a Normal Distribution? Why are Many Variables Normally Distributed? Why are Many Variables Normally Distributed? How Are Normal.
Standard Normal Distribution The Classic Bell-Shaped curve is symmetric, with mean = median = mode = midpoint.
Slide 4- 1 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Active Learning Lecture Slides For use with Classroom Response.
AP Stats BW 9/17 1)Which set has the largest standard deviation? The smallest? a b c )Without calculating,
Did you know ACT and SAT Score are normally distributed?
Find the indicated z score: z = Find the indicated z score:.6331 z 0 z = –
Active Learning Lecture Slides For use with Classroom Response Systems Statistical Inference: Confidence Intervals.
Active Learning Lecture Slides For use with Classroom Response Systems Probability Distributions.
Copyright © 2010, 2007, 2004 Pearson Education, Inc. Lecture Slides Elementary Statistics Eleventh Edition and the Triola Statistics Series by.
© 2013 Pearson Education, Inc. Active Learning Lecture Slides For use with Classroom Response Systems Introductory Statistics: Exploring the World through.

Ch 11 – Probability & Statistics
BPT 2423 – STATISTICAL PROCESS CONTROL.  Frequency Distribution  Normal Distribution / Probability  Areas Under The Normal Curve  Application of Normal.
Section Copyright © 2014, 2012, 2010 Pearson Education, Inc. Lecture Slides Elementary Statistics Twelfth Edition and the Triola Statistics Series.
Statistics: Concepts and Controversies Normal Distributions
The Mean of a Discrete Probability Distribution
In 2009, the mean mathematics score was 21 with a standard deviation of 5.3 for the ACT mathematics section. ReferenceReference Draw the normal curve in.
Copyright © 2011 Pearson Education, Inc. Putting Statistics to Work.
Chapter 13 Section 7 – Slide 1 Copyright © 2009 Pearson Education, Inc. AND.
Copyright © 2010, 2007, 2004 Pearson Education, Inc. Lecture Slides Elementary Statistics Eleventh Edition and the Triola Statistics Series by.
© 2008 Pearson Addison-Wesley. All rights reserved Chapter 1 Section 13-5 The Normal Distribution.
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.
Thinking Mathematically Statistics: 12.5 Problem Solving with the Normal Distribution.
Active Learning Lecture Slides For use with Classroom Response Systems Statistical Inference: Confidence Intervals.
Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 6- 1.
Slide Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 13 Statistics.
Copyright © 2013, 2009, and 2007, Pearson Education, Inc. Chapter 6 Probability Distributions Section 6.2 Probabilities for Bell-Shaped Distributions.
© 2013 Pearson Education, Inc. Active Learning Lecture Slides For use with Classroom Response Systems Introductory Statistics: Exploring the World through.
Statistics Workshop Tutorial 5 Sampling Distribution The Central Limit Theorem.
Copyright © 2014 Pearson Education. All rights reserved Copyright © 2014 Pearson Education, Inc. 5.2 Properties of the Normal Distribution LEARNING.
3 Some Key Ingredients for Inferential Statistics.
Normal Distribution and Z-scores
© 2013 Pearson Education, Inc. Active Learning Lecture Slides For use with Classroom Response Systems Introductory Statistics: Exploring the World through.
Copyright © 2012 Pearson Education, Inc. All rights reserved Chapter 9 Statistics.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Chapter 6 The Standard Deviation as a Ruler and the Normal Model.
Slide 4- 1 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Active Learning Lecture Slides For use with Classroom Response.
Active Learning Lecture Slides For use with Classroom Response Systems Chapter 6: Probability Distributions Statistics: The Art and Science of Learning.
2.2 Standard Normal Calculations
Modeling Distributions
Chapter 9 – The Normal Distribution Math 22 Introductory Statistics.
Lecture 9 Dustin Lueker. 2  Perfectly symmetric and bell-shaped  Characterized by two parameters ◦ Mean = μ ◦ Standard Deviation = σ  Standard Normal.
Slide Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 13 Statistics.
Copyright © 2015, 2012, and 2009 Pearson Education, Inc. 1 Chapter Normal Probability Distributions 5.
Unit 6 Section : Introduction to Normal Distributions and Standard Normal Distributions  A normal distribution is a continuous, symmetric, bell.
Slide 6- 1 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Active Learning Lecture Slides For use with Classroom Response.
Copyright © 2015, 2012, and 2009 Pearson Education, Inc. 1 Chapter Normal Probability Distributions 5.
Normal Distribution SOL: AII Objectives The student will be able to:  identify properties of normal distribution  apply mean, standard deviation,
1 Standard Normal Distribution Curve Standard Score.
Normal Distribution SOL: AII Objectives The student will be able to:  identify properties of normal distribution  apply mean, standard deviation,
Section 2 Standard Units and Areas under the Standard Normal Distribution.
Copyright © 2009 Pearson Education, Inc. 5.2 Properties of the Normal Distribution LEARNING GOAL Know how to interpret the normal distribution in terms.
Section 1.1, Slide 1 Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 14.4, Slide 1 14 Descriptive Statistics What a Data Set Tells Us.
Active Learning Lecture Slides For use with Classroom Response Systems
Copyright © 2013 Pearson Education, Inc.
8.1 Sampling Distributions
Lial/Hungerford/Holcomb: Mathematics with Applications 10e
5.2 Properties of the Normal Distribution
Active Learning Lecture Slides For use with Classroom Response Systems
Warm Up If there are 2000 students total in the school, what percentage of the students are in each section?
Presentation transcript:

Active Learning Lecture Slides For use with Classroom Response Systems Probability Distributions

Copyright © 2013 Pearson Education, Inc. 6.1 All students in a class were asked how many times they had read the city newspaper in the past 5 days. The data is in the chart below. What proportion read the newspaper more than 3 times in the past 5 days? a) 0.1 b) 0.5 c) 0.6 d) 1.0 e) None of the above No. Times Read Newspaper Probability

Copyright © 2013 Pearson Education, Inc. 6.1 All students in a class were asked how many times they had read the city newspaper in the past 5 days. The data is in the chart below. What proportion read the newspaper more than 3 times in the past 5 days? a) 0.1 b) 0.5 c) 0.6 d) 1.0 e) None of the above No. Times Read Newspaper Probability

Copyright © 2013 Pearson Education, Inc. 6.6 Which of the following is NOT a property of the normal distribution? a) It is symmetric. b) It is bell-shaped. c) It is centered at the mean, 0. d) It has a standard deviation,. e) All of the above are correct.

Copyright © 2013 Pearson Education, Inc. 6.6 Which of the following is NOT a property of the normal distribution? a) It is symmetric. b) It is bell-shaped. c) It is centered at the mean, 0. d) It has a standard deviation,. e) All of the above are correct.

Copyright © 2013 Pearson Education, Inc. 6.7 Scores on the verbal section of the SAT have a mean of 500 and a standard deviation of 100. Scores are approximately normally distributed. What proportion of SAT scores are higher than 450? a) 0.5 b) c) d) e)

Copyright © 2013 Pearson Education, Inc. 6.7 Scores on the verbal section of the SAT have a mean of 500 and a standard deviation of 100. Scores are approximately normally distributed. What proportion of SAT scores are higher than 450? a) 0.5 b) c) d) e)

Copyright © 2013 Pearson Education, Inc. 6.8 Scores on the verbal section of the SAT have a mean of 500 and a standard deviation of 100. Scores are approximately normally distributed. If someone scored at the 90 th percentile, what is their SAT score? a) 608 b) 618 c) 628 d) 638 e) 648

Copyright © 2013 Pearson Education, Inc. 6.8 Scores on the verbal section of the SAT have a mean of 500 and a standard deviation of 100. Scores are approximately normally distributed. If someone scored at the 90 th percentile, what is their SAT score? a) 608 b) 618 c) 628 d) 638 e) 648

Copyright © 2013 Pearson Education, Inc. 6.9 What is the standard normal distribution? a) b) c) d) e)

Copyright © 2013 Pearson Education, Inc. 6.9 What is the standard normal distribution? a) b) c) d) e)

Copyright © 2013 Pearson Education, Inc There are two sections of Intro Statistics and they both gave an exam on the same material. Suppose that Megan made an 83 in 2 nd period and Jose made an 85 in 3 rd period. Using the information below. Who scored relatively higher with respect to their own period? 2 nd period3 rd period Mean8082 Standard Deviation56 a) Jose b) Megan c) They are the same d) Cannot be determined

Copyright © 2013 Pearson Education, Inc There are two sections of Intro Statistics and they both gave an exam on the same material. Suppose that Megan made an 83 in 2 nd period and Jose made an 85 in 3 rd period. Using the information below. Who scored relatively higher with respect to their own period? 2 nd period3 rd period Mean8082 Standard Deviation56 a) Jose b) Megan c) They are the same d) Cannot be determined