document.write( "Question 1159791: The lifetime of a certain brand of battery is known to have a standard deviation of 11.5 hours. Suppose that a random sample of 80 such batteries has a mean lifetime of 43.9 hours. Based on this sample, find a 99% confidence interval for the true mean lifetime of all batteries of this brand.\r
\n" ); document.write( "\n" ); document.write( "Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.\r
\n" ); document.write( "\n" ); document.write( "What is the lower limit of the 99% confidence interval?
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\n" ); document.write( "What is the upper limit of the 99% confidence interval?
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Algebra.Com's Answer #782872 by Boreal(15235)\"\" \"About 
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half-interval is z(0.995)*sigma/sqrt(n)
\n" ); document.write( "=2.576*11.5/sqrt(80)
\n" ); document.write( "=3.31\r
\n" ); document.write( "\n" ); document.write( "99% CI is mean+/- margin of error
\n" ); document.write( "(40.6, 47.2) hours
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