STAT6202_Ch3_PrintsC_1112 (1)

# STAT6202_Ch3_PrintsC_1112 (1) - STAT6202 Chapter 3...

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Unformatted text preview: STAT6202 Chapter 3 2011/2012 1 CHAPTER 3 The Normal Distribution POPULATION VERSUS SAMPLE - NOTATION NORMAL DISTRIBUTION - THE IDEA DEFINITION AND PARAMETERS PROBABILITIES AND VARIABLES THREE PROBABILITY RULES PERCENTAGE POINTS STAT6202 Chapter 3 2011/2012 2 POPULATION VERSUS SAMPLE Notation WHAT IS THE DIFFERENCE? SO FAR ONLY SAMPLE (DATA) NOW WE WILL START LOOKING AT BOTH Sample Population Mean μ Standard deviation s x σ Variance s x 2 σ 2 Size n N STAT6202 Chapter 3 2011/2012 3 POPULATION VERSUS SAMPLE An example MANAGEMENT OF A STORE ARE INTERESTED IN THE AVERAGE AGE OF THEIR CUSTOMERS. AS SUCH 40 RANDOMLY SELECTED CUSTOMERS OF THEIR STORE ARE ASKED ABOUT THEIR AGE. o Population: o Sample: o μ : o : o n = N = o all customers of the store o the 40 randomly selected customers mean age of all customers of the store : mean age of the 40 randomly selected customers 40 total number of customers of the store STAT6202 Chapter 3 2011/2012 4 CHAPTER 3 The Normal Distribution POPULATION VERSUS SAMPLE - NOTATION NORMAL DISTRIBUTION - THE IDEA DEFINITION AND PARAMETERS PROBABILITIES AND VARIABLES THREE PROBABILITY RULES PERCENTAGE POINTS STAT6202 Chapter 3 2011/2012 NORMAL DISTRIBUTION The idea AN EXAMPLE: WEIGHT OF ALL UK MEN Symmetric: mean o One peak o Bell shaped STAT6202 Chapter 3 2011/2012 6 NORMAL DISTRIBUTION The definiton o Location: mean ( μ ) o Spread: variance ( σ 2 ) o Shape: normal distribution RELATIVE FREQUENCY CURVE o Or probability density function STAT6202 Chapter 3 2011/2012...
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## This note was uploaded on 12/07/2011 for the course STAT 6202 taught by Professor Rahman during the Spring '11 term at UCL.

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STAT6202_Ch3_PrintsC_1112 (1) - STAT6202 Chapter 3...

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