document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164688>Question 164688</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072868244/algebrahomeworkh>Statistcal techniques in business and economics </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> In establishing warranties on HDTV sets, the manufacturer wants to set the limits so that few will need repair at manufacturer expense.For a new HDTV the mean number of months until repairs are needed is 36.84 with a standard deviation of 3.34 months.Where should the warranty limits be set so that only 10 percent of the HDTVs need repairs at the manufacturer's expense?																				<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121364 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121364\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you want to find the area under the curve of the normal distribution where 10% of the failures lie before and 90% of the failures lie after.<BR>\n" );
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document.write( "that point is at 32.55962 months.<BR>\n" );
document.write( "a warranty that stops there will require you to service 10% of the tv's that are sold.<BR>\n" );
document.write( "90% of the tv's that are sold will experience a failure after that number of months.<BR>\n" );
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document.write( "you can see this in operation by going to the following url:<BR>\n" );
document.write( "http://onlinestatbook.com/java/normalshade.html<BR>\n" );
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document.write( "once you get there, you put in the mean of 36.84 and the standard deviation of 3.34<BR>\n" );
document.write( "you then set your shaded area to be at .1 and you select below:<BR>\n" );
document.write( "it should tell you that below 32.5596 is the number you are looking for.<BR>\n" );
document.write( "the shaded area under the curve represents 10% of the failures that are expected to occur and this occurs before 32.5596 months have passed.<BR>\n" );
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document.write( "if you set your shaded area to be at .9 and you select above, you should see where 90% of the failures are expected to lie and this will be after 32.5596 months. </SPAN>\n" );
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