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Chapter 6: Probability
Flow of inferential statistics and probability SamplePopulation Inferential Statistics Probability
Jars of Marbles
Probability Equation Probability of A = Number of outcomes classified as A Total number of possible outcomes
Probability is Proportion Coin tosses -- p (heads) = ? Cards p (King of Hearts) = ? p (ace) = ? p (red ace) = ?
Number list 6, 6, 7, 7, 7, 7, 8, 8, 8, 9
Simple frequency table xf
Random Sample 1.Each individual in the population has an equal chance of being selected. 2.If more than one individual is selected, there must be constant probability for each and every selection.
1, 1, 2, 3, 3, 4, 4, 4, 5, 6 xf
Frequency distribution X frequency
Frequency distribution X frequency
Normal Curve µ X
Normal Curve with percentages 13.59% µ z % 13.59% 2.28%
Comparison of Curves = 6 µ X (a) µ z (b)
Curve broken down into sd’s z
Proportion in Tail vs. Body (A) z (B) Proportion in Body (C) Proportion in Tail Meanz z C C B
Comparison of 3 curves (c) z µ (a) z µ (b) z µ
Comparison of 2 normal curves z (a) µ µ z (b)
Z-score formula in relation to probability XZ Probability z-score formula Unit normal table
Normal curve with mean, 1 sd, and 2 z-scores = 100 X µ z 01.50
Normal curve with mean, 2 sd’s, and 3 z-scores = 100 X µ z
Normal curve with top 15% shaded = 100 X µ = 500 z Top 15%
Curve with mean of 100, shaded below 114 X µ = 100 z =
Curve with mean of 100, shaded below 92 X µ = 100 z = 10 92
Curve with mean of 60, shaded below 34% X µ = 60 = 5 P = or 34%
Normal Curve with Quartiles 25% z Quartiles Q1Q2Q3
Probability of heads in two coin tosses Probability Number of heads in two coin tosses
Probability of heads in 4 & 6 coin tosses Probability (a) Probability (b) Number of Heads in six coin tosses Number of Heads in four coin tosses
The Relationship Between the Binomial Distribution and the Normal Distribution X
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The Normal distribution and z-scores: The Normal curve is a mathematical abstraction which conveniently describes ("models") many frequency distributions.
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£1 Million £500,000 £250,000 £125,000 £64,000 £32,000 £16,000 £8,000 £4,000 £2,000 £1,000 £500 £300 £200 £100 Welcome.
Probability Quantitative Methods in HPELS HPELS 6210.
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Adding Adding by Partitioning Vertically.
Chap 16-1 Statistics for Business and Economics, 6e © 2007 Pearson Education, Inc. Chapter 16 Goodness-of-Fit Tests and Contingency Tables Statistics for.
Copyright ©2006 Brooks/Cole, a division of Thomson Learning, Inc. Random Variables Chapter 8.
© aSup Probability and Normal Distribution 1 PROBABILITY.
Warm-up 7.2 Generating Sampling Distributions Free Response Question Simple random samples of young and older adults in a large city were surveyed as to.
AGVISE Laboratories %Zone or Grid Samples – Northwood laboratory % Grid or Zone Samples Tested Compared To Conventional Whole Field Composite.
Subtraction: Adding UP. Category 1 The whole is a multiple of ten.
CHAPTER 5 REVIEW. As a part of a promotion for a new type of cracker, free trial samples are offered to shoppers in a local supermarket. The probability.
2011 FRANKLIN COMMUNITY SURVEY YOUTH RISK BEHAVIOR GRADES 9-12 STUDENTS=332.
×1= 9 4 1×1= 1 5 8×1= 8 6 7×1= 7 7 8×3= 24.
2011 WINNISQUAM COMMUNITY SURVEY YOUTH RISK BEHAVIOR GRADES 9-12 STUDENTS=1021.
Schutzvermerk nach DIN 34 beachten 05/04/15 Seite 1 Training EPAM and CANopen Basic Solution: Password * * Level 1 Level 2 * Level 3 Password2 IP-Adr.
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CALENDAR NEW CALENDAR
Probability IIntroduction to Probability ASatisfactory outcomes vs. total outcomes BBasic Properties CTerminology IICombinatory Probability AThe Addition.
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You will need Your text Your calculator And the handout Steps In Hypothesis Testing Bluman, Chapter 81.
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1 Sampling in Marketing Research. 2 Basics of sampling I l A sample is a part of a whole to show what the rest is like. l Sampling helps to determine.
Break Time Remaining 10:00. Break Time Remaining 9:59.
TCCI Barometer September “Establishing a reliable tool for monitoring the financial, business and social activity in the Prefecture of Thessaloniki”
Trend for Precision Soil Testing % Zone or Grid Samples Tested compared to Total Samples.
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