document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70093>Question 70093</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0471656828/algebrahomeworkh>Statistics Principles and Methods</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Would someone please check my work on this problem to see if I'm doing it right?  \r<BR>\n" );
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document.write( "A study of postoperative pain relief is conducted to determine if drug A has a significanlty longer duration of pain relief than drug B. Observations of teh hours of pain relief are recorded for 55 patients given drug A and 58 patients given drug B. The summary statistics are : <BR>\n" );
document.write( "Drug A - Mean 4.64 - St. Dev. 1.25<BR>\n" );
document.write( "Drug B - Mean 4.03 - St. Dev. 1.82<BR>\n" );
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document.write( "a)Formulate Ho and H1.<BR>\n" );
document.write( "b)State the test statistic and the rejection region with &#945; = .10\r<BR>\n" );
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document.write( "I think I have done this right, but would appreciate someone checking to see if what I'm doing is right.  Here is what I have done.\r<BR>\n" );
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document.write( "The hypothesis is:<BR>\n" );
document.write( "Ho:&#956;1-&#956;2=0 vs. H1:&#956;1-&#956;2>0\r<BR>\n" );
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document.write( "The test statistic is:<BR>\n" );
document.write( "Z= X-Y/&#8730;S1²/n1+S2²/n2  = 4.64-4.03/&#8730;(1.25)²/55+(1.82)²/58 = 0.61/&#8730;.0284+.0572 =0.61/&#8730;.0855 = 0.61/.2924 =2.09\r<BR>\n" );
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document.write( "The rejection region is:<BR>\n" );
document.write( "Rej:Z&#8805;z&#945; =Z&#8805;z.10 = Z&#8805;1.28\r<BR>\n" );
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document.write( "2.09 &#8805; 1.28, so reject Ho.  \r<BR>\n" );
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document.write( "Thank you.<BR>\n" );
document.write( "kathyb\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 #49977 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=49977\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I checked your work and conclusion using the \"2-Sample Z Test\" function<BR>\n" );
document.write( "on a TI-83.  Your work and conclusion are correct.  If you need further<BR>\n" );
document.write( "help in your study of stat please email me--no cost.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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