document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182505>Question 1182505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> College Costs The mean undergraduate cost for<BR>\n" );
document.write( "tuition, fees, room, and board for four-year institutions<BR>\n" );
document.write( "was $26,489 for a recent academic year. Suppose<BR>\n" );
document.write( "that s  $3204 and that 36 four-year institutions are<BR>\n" );
document.write( "randomly selected. Find the probability that the sample<BR>\n" );
document.write( "mean cost for these 36 schools is<BR>\n" );
document.write( "a. Less than $25,000 <BR>\n" );
document.write( "b. Greater than $26,000 <BR>\n" );
document.write( "c. Between $24,000 and $26,000 <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 #812570 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=812570\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Fewer than $25,000:<BR>\n" );
document.write( "z=(x bar-mean)/sigma/sqrt(n)<BR>\n" );
document.write( "=(25000-26489)/3204/6<BR>\n" );
document.write( "=-1489*6/3204<BR>\n" );
document.write( "=-2.78<BR>\n" );
document.write( "since we want less than that, the probability is 0.0026, rounding the z at the end<BR>\n" );
document.write( "-<BR>\n" );
document.write( "Greater than $26,000:here z=(-489)*6/3204 or -0.9157 for probability of 0.8201<BR>\n" );
document.write( "-<BR>\n" );
document.write( "fewer than $24,000 has virtually no probability, so this is less than $26,000, which is the complement of the last answer or 0.1799.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "Check the last by 2nd VARS normalcdf(24,000,26000,26489,3204/6), since the true sd of this mean distribution is 3204/sqrt(36).<BR>\n" );
document.write( "=0.1799 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );