document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=588623>Question 588623</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Curriculum planners decided to determine whether a curriculum change should be<BR>\n" );
document.write( "instituted to increase the reading comprehension of sixth-graders in Metro Manila.<BR>\n" );
document.write( "Then mean reading comprehension score under the old curriculum was 92 on a<BR>\n" );
document.write( "standard reading comprehension test. After the new curriculum was used for one<BR>\n" );
document.write( "quarter, the mean of a sample of 400 students was 95. Assuming that the standard<BR>\n" );
document.write( "deviation for the entire population of sixth-graders in Metro Manila is the same<BR>\n" );
document.write( "under the new curriculum as under the old (s = 10), test at significance level 0.01<BR>\n" );
document.write( "whether there would be an improvement in reading comprehension in general if<BR>\n" );
document.write( "the entire population of sixth-graders in Metro Manila were taught using the new<BR>\n" );
document.write( "curriculum.<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 #374562 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=374562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Curriculum planners decided to determine whether a curriculum change should be<BR>\n" );
document.write( "instituted to increase the reading comprehension of sixth-graders in Metro Manila.<BR>\n" );
document.write( "Then mean reading comprehension score under the old curriculum was 92 on a<BR>\n" );
document.write( "standard reading comprehension test. After the new curriculum was used for one<BR>\n" );
document.write( "quarter, the mean of a sample of 400 students was 95. Assuming that the standard<BR>\n" );
document.write( "deviation for the entire population of sixth-graders in Metro Manila is the same<BR>\n" );
document.write( "under the new curriculum as under the old (s = 10), test at significance level 0.01<BR>\n" );
document.write( "whether there would be an improvement in reading comprehension in general if<BR>\n" );
document.write( "the entire population of sixth-graders in Metro Manila were taught using the new<BR>\n" );
document.write( "curriculum.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Ho: u(new) <= 92<BR>\n" );
document.write( "Ha: u(new) > 92 (claim)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "t(95) = (95-92)/[10/sqrt(400)] = 3/(10/20) = 6<BR>\n" );
document.write( "p-value = P(t > 6 when df = 399) = tcdf(6,100,399) = 2.22x10^-9<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Since the p-value is less than 1%, reject Ho.<BR>\n" );
document.write( "The test results support the claim.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );