document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221778>Question 221778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A teacher is interested in comparing the means scores on a mathematics and verbal test for two populations of students, population A and population B. In particular, the teacher suspects that the mean score for population A is higher than in population B.\r<BR>\n" );
document.write( "\n" );
document.write( "A random sample of 30 test scores from each population is collected.\r<BR>\n" );
document.write( "\n" );
document.write( "Sample A<BR>\n" );
document.write( "83.5 	66 	92.5 	61.5 	62.5 	94<BR>\n" );
document.write( "71.5 	68 	97 	66.5 	93 	71.5<BR>\n" );
document.write( "63 	90.5 	69 	93 	95 	66<BR>\n" );
document.write( "74 	92.5 	85 	66.5 	86.5 	65<BR>\n" );
document.write( "73 	66.5 	88.5 	69.5 	80 	69.5<BR>\n" );
document.write( "	  	<BR>\n" );
document.write( "Sample B<BR>\n" );
document.write( "92 	51.5 	73 	73 	95 	63<BR>\n" );
document.write( "74 	79 	46.5 	93.5 	88 	88<BR>\n" );
document.write( "64.5 	49.5 	79 	51.5 	53 	89.5<BR>\n" );
document.write( "78.5 	84.5 	80 	72.5 	71 	94.5<BR>\n" );
document.write( "67 	55 	85.5 	70 	92 	64.5\r<BR>\n" );
document.write( "\n" );
document.write( "Conduct a one-tailed hypothesis test for equality of the populations means.\r<BR>\n" );
document.write( "\n" );
document.write( "You may find this Student's t distribution table useful.\r<BR>\n" );
document.write( "\n" );
document.write( "a)Calculate the test statistic. Give your answer to 3 decimal places.\r<BR>\n" );
document.write( "\n" );
document.write( "t =???\r<BR>\n" );
document.write( "\n" );
document.write( "b)At a 95% confidence level, from the result of the test you can conclude that there is:\r<BR>\n" );
document.write( "\n" );
document.write( "1.)significant evidence to conclude that the mean of population A is greater than the mean of population B<BR>\n" );
document.write( "2.)significant evidence to conclude that the mean of population A is less than or equal to the mean of population B<BR>\n" );
document.write( "3.)not enough evidence to conclude that the mean of population A is greater than the mean of population B<BR>\n" );
document.write( "4.)not enough evidence to conclude that the mean of population A is less than or equal to than the mean of population B </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166248 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=166248\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The most time consuming part of problems of <BR>\n" );
document.write( "this kind is calculating the same means and<BR>\n" );
document.write( "standard deviations.  I think you should <BR>\n" );
document.write( "supply that data if you want help with the<BR>\n" );
document.write( "analytic part of the problem.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );