document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197670>Question 1197670</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average student-loan debt is reported to be $25,235. A student believes that the student-loan debt is higher in her area. She takes a random sample of 100 college students in her area and determines the mean student-loan debt is $27,524 and the standard deviation is $6,000. Is there sufficient evidence to support the student's claim at a 5% significance level?<BR>\n" );
document.write( "Is it safe to assume that  n≤5%<BR>\n" );
document.write( "of all college students in the local area?<BR>\n" );
document.write( "No<BR>\n" );
document.write( "Yes<BR>\n" );
document.write( "Is n≥30?<BR>\n" );
document.write( "Test the claim:\r<BR>\n" );
document.write( "\n" );
document.write( "Determine the null and alternative hypotheses. Enter correct symbol and value.<BR>\n" );
document.write( "H0: μ=<BR>\n" );
document.write( "Determine the test statistic. Round to two decimals.<BR>\n" );
document.write( "Find the  <BR>\n" );
document.write( "p<BR>\n" );
document.write( " -value. Round to 4 decimals.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831084 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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/cgi-bin/show-face.mpl?user=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=831084\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho:  µ = $25,235<BR>\n" );
document.write( "Ha:  µ > $25,235<BR>\n" );
document.write( "n = 100, x̄ = $27,524    s = $6000<BR>\n" );
document.write( " n = 100 ,  n≥ 30,  standard Z distribution will be used.\r<BR>\n" );
document.write( "\n" );
document.write( "0.05 significance level,  Critical value(df=99)  = 1.6604 0r 1.645 standard<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2827524%29+=+z+=blue+%2827524+-+25235%29%2F%28blue%286000%29%2Fsqrt%28100%29%29 ALIGN=MIDDLE  ALT=\"t%2827524%29+=+z+=blue+%2827524+-+25235%29%2F%28blue%286000%29%2Fsqrt%28100%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  = 3.8167<BR>\n" );
document.write( " 3.8167 >  1.645  Reject Ho<BR>\n" );
document.write( "P(z ≤ t-value) = .0001 < .05 Reject Ho </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );