document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=300075>Question 300075</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm lost here, my brain is on the blink today can somebody help me with this one. I would greatly appreciated any help on solving this problem.\r<BR>\n" );
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document.write( "You are given the following data. Test the claim that there is a difference in the means of the two groups. Use   = 0.05. <BR>\n" );
document.write( "Group A           Group B<BR>\n" );
document.write( "  = 10             = 2<BR>\n" );
document.write( "  = 1.0             = 0.1<BR>\n" );
document.write( "  = 99             = 52<BR>\n" );
document.write( "•&#61472;State the null and alternate hypotheses<BR>\n" );
document.write( "•&#61472;Determine which test statistic applies, and calculate it<BR>\n" );
document.write( "•&#61472;Determine the critical value(s).<BR>\n" );
document.write( "•&#61472;State your decision: Should the null hypothesis be rejected?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215420 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=215420\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Test the claim that there is a difference in the means of the two groups. Use = 0.05. <BR>\n" );
document.write( "Group A Group B<BR>\n" );
document.write( "= 10 = 2<BR>\n" );
document.write( "= 1.0 = 0.1<BR>\n" );
document.write( "= 99 = 52<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "ua = (10+1+99)/3 = 110/3 36.67<BR>\n" );
document.write( "sa^2 = 17.57^2<BR>\n" );
document.write( "na = 3<BR>\n" );
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document.write( "ub = (2+0.1+52)/3 = 54.1/3 = 18.03<BR>\n" );
document.write( "sb^2 = 7^2<BR>\n" );
document.write( "nb = 3<BR>\n" );
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document.write( "•&#61472;State the null and alternate hypotheses<BR>\n" );
document.write( "Ho: ua-ub = 0<BR>\n" );
document.write( "Ha: ua-ub is not equal to zero<BR>\n" );
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document.write( "•&#61472;Determine which test statistic applies, and calculate it<BR>\n" );
document.write( "t = (36.67-18.03)/sqrt[(17.57^2/3 = 7^2/3] = 3.1313<BR>\n" );
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document.write( "•&#61472;Determine the critical value(s).<BR>\n" );
document.write( "invT(0.975,2) = +-4.3027<BR>\n" );
document.write( "------<BR>\n" );
document.write( "•&#61472;State your decision: Should the null hypothesis be rejected?<BR>\n" );
document.write( "The test stat is not in either reject interval. <BR>\n" );
document.write( "Fail to reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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