document.write( "Question 279758: A manufacturer receives an order for fluorscent light bulbs. The order requires that the bulbs have a mean life span of 550 hours. The manufacturer selects a random sample of 25 fluorescent light bulbs and finds that they have a mean life span of 545 hours with a standard deviation of 15 hours. Is the manufacturer making acceptable light bulbs? Defend your answer. use a 95% confidence level. Assume the data is normally distributed.\r
\n" ); document.write( "\n" ); document.write( "Please show work.
\n" ); document.write( "

Algebra.Com's Answer #203354 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A manufacturer receives an order for fluorscent light bulbs.
\n" ); document.write( "The order requires that the bulbs have a mean life span of 550 hours.
\n" ); document.write( "The manufacturer selects a random sample of 25 fluorescent light bulbs and finds that they have a mean life span of 545 hours with a standard deviation of 15 hours. Is the manufacturer making acceptable light bulbs? Defend your answer. use a 95% confidence level. Assume the data is normally distributed.
\n" ); document.write( "----------------------
\n" ); document.write( "sample mean = 545
\n" ); document.write( "standard error = E = invT(0.975.24)*15/sqrt(25) = 6.1917
\n" ); document.write( "--------------------
\n" ); document.write( "95% CI: 545-6.1917 < u < 545+6.1917
\n" ); document.write( "95% CI: 538.81 < u < 551.19
\n" ); document.write( "===============================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );