document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=311584>Question 311584</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A microwave oven repairer says that the mean repair cost of damaged microwave ovens is less than $110.  You want to test this claim.You find that a random sample of five microwave ovens has a mean repair cost of $117 and a standard deviation of $12.50.  With alpha at 0.01, do you have enough evidence to support the repairman's claim? Assume the population is normally distributed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #222947 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=222947\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A microwave oven repairer says that the mean repair cost of damaged microwave ovens is less than $110. <BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "You want to test this claim.<BR>\n" );
document.write( "You find that a random sample of five microwave ovens has a mean repair cost of $117 and a standard deviation of $12.50. <BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "With alpha at 0.01, do you have enough evidence to support the repairman's claim? Assume the population is normally distributed.<BR>\n" );
document.write( "=============================================================<BR>\n" );
document.write( "Ho: u >= 110<BR>\n" );
document.write( "Ha: u < 110 (claim)<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "t(117) = (117-110)/[12.5/sqrt(5)] = 1.2522<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "p-value = P(t < 1.2522 with df=4) = 0.8606<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Since the p-value is greater than 1%, fail to reject Ho.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "The test results do not support the claim.<BR>\n" );
document.write( "==============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );