document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159277>Question 1159277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students at the 0.025 significance level. <BR>\n" );
document.write( "The null and alternative hypothesis would be:<BR>\n" );
document.write( "a)H0:μO≤μC<BR>\n" );
document.write( "H1:μO>μC <BR>\n" );
document.write( "b)H0:μO=μC<BR>\n" );
document.write( "H1:μO≠μC \r<BR>\n" );
document.write( "\n" );
document.write( "c)H0:μO≥μC<BR>\n" );
document.write( "H1:μO<μC \r<BR>\n" );
document.write( "\n" );
document.write( "d)H0:pO≤pC<BR>\n" );
document.write( "H1:pO>pC \r<BR>\n" );
document.write( "\n" );
document.write( "e)H0:pO≥pC<BR>\n" );
document.write( "H1:pO <BR>\n" );
document.write( "f)H0:pO=pC<BR>\n" );
document.write( "H1:pO≠pC \r<BR>\n" );
document.write( "\n" );
document.write( "The test is:<BR>\n" );
document.write( "A)right-tailed<BR>\n" );
document.write( "B)two-tailed<BR>\n" );
document.write( "C)left-tailed \r<BR>\n" );
document.write( "\n" );
document.write( "The sample consisted of 55 Orange Coast students, with a sample mean GPA of 2.75 and a standard deviation of 0.02, and 55 Coastline students, with a sample mean GPA of 2.76 and a standard deviation of 0.06. <BR>\n" );
document.write( "The test statistic is: ________________(to 2 decimals) <BR>\n" );
document.write( "The p-value is:__________________(to 2 decimals) <BR>\n" );
document.write( "Based on this we:<BR>\n" );
document.write( "A)Reject the null hypothesis </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782522 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=782522\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> because expect O to be < C, make Ho: O is >= C and Ha: O is less than C which is C for the letter choice<BR>\n" );
document.write( "it is a left-tail test, because we expect the change to be on the left or negative side.<BR>\n" );
document.write( "the test statistic is t=-1.17,  p-value is 0.12\r<BR>\n" );
document.write( "\n" );
document.write( "Fail to reject Ho: insufficient evidence to conclude that mu O is less than mu C.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );