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Chapter 18 Sampling Distribution

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Key Concepts

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Example 1 Suppose that about 13% of the population is left handed. A 200 seat school auditorium has been built with 15 lefty seats. In a class of 90 students what is the probability that there will not be enough seats for the left handed students?

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Plan We want the probability of finding more that 16.7% left handed students out of a sample size of 90 students if the proportion of lefties is 13%.

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Always check conditions Randomization Condition: 10% condition: Success/ Failure np>10 nq > 10

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State the parameter and the sampling distribution model p= The conditions are satisfied N( mean ( use population proportion), SD) N(.13,.035)

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Draw it

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Find the z-score z= P( p >.167) =

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Example 2 Information on a packet of seeds claims that the germination rate is 92%. What is the probability that more than 95% of the 160 seeds in the packet will germinate?

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Plan

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Conditions

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State the parameter and the sampling distribution model p= The conditions are satisfied N( mean ( use population proportion), SD) N( )

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Plot it

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z score

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