document.write( "Question 808112: You wish to estimate µ, the average
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document.write( "lifetime of a particular type of battery. You are
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document.write( "planning to select n batteries of this type and to
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document.write( "operate them continuously until they fail. You
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document.write( "have some feeling that the standard deviation of
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document.write( "the lifetimes should be around 20 hours, and you
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document.write( "wish your estimate of µ to be within 1 hour of
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document.write( "µ with 95% confidence. How many batteries
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document.write( "should you select?
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Algebra.Com's Answer #486743 by stanbon(75887) ![]() You can put this solution on YOUR website! You are \n" ); document.write( "planning to select n batteries of this type and to \n" ); document.write( "operate them continuously until they fail. You \n" ); document.write( "have some feeling that the standard deviation of \n" ); document.write( "the lifetimes should be around 20 hours, and you \n" ); document.write( "wish your estimate of µ to be within 1 hour of \n" ); document.write( "µ with 95% confidence. How many batteries \n" ); document.write( "should you select? \n" ); document.write( "----- \n" ); document.write( "n = [z*s/E]^2 \n" ); document.write( "---- \n" ); document.write( "n =[1.96*20/1]^2 = 39.2^2 = 1567 when rounded up \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================== \n" ); document.write( " |