document.write( "Question 233878: A local manufacturer wants to know how long to guarantee her toasters. A random sample of 16 toasters has an average lifespan of 1,000 hours with a standard deviation of 200 hours. If she doesn't want to replace any more than 10% of the toasters, for how long should she gaurantee her toasters? \n" ); document.write( "
Algebra.Com's Answer #172542 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A local manufacturer wants to know how long to guarantee her toasters. A random sample of 16 toasters has an average lifespan of 1,000 hours with a standard deviation of 200 hours. If she doesn't want to replace any more than 10% of the toasters, for how long should she gaurantee her toasters? \n" ); document.write( "-------------------------------------- \n" ); document.write( "Find the z-value associated with a left tail of 10%. \n" ); document.write( "I used my TI-84 calculator to get: \n" ); document.write( "invNorm(0.10) = -1.2816 \n" ); document.write( "--------------------- \n" ); document.write( "Find the \"x\" value associated with that z value \n" ); document.write( "using x = zs + u \n" ); document.write( "x = -1.2816*200 + 1000 \n" ); document.write( "x = 743,69 hours \n" ); document.write( "---------------------- \n" ); document.write( "She should guantee them for around 745 hrs. of use \n" ); document.write( "======================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |