document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=479428>Question 479428</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a study of postoperative pain relief is conducted to determine if drug A has a significantly longer duration of pain relief than drug B. Observations of the hours of pain relief are recorded for 55 patients given drug A and 58 patients given drug B. The summary statistics are\r<BR>\n" );
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document.write( "Drug A: Mean,  Standard Deviation     4.64, 1.25                         <BR>\n" );
document.write( "Drug B: Mean, Standard Deviation      4.03, 1.82\r<BR>\n" );
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document.write( "a)Formulate H0 and H1 <BR>\n" );
document.write( "b)State the test statistic and the rejection region with &#945;= .10<BR>\n" );
document.write( "c)State the conclusion of your test with &#945;= .10. Also, find the P-value and comment. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #328516 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=328516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) <BR>\n" );
document.write( "Ho: mean[A]>mean[B]<BR>\n" );
document.write( "H1: mean[A]=mean[B]<BR>\n" );
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document.write( "b)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=sqrt%28%281.25%5E2%2F55%29%2B%281.82%5E2%2F58%29%29=.292 ALIGN=MIDDLE  ALT=\"sigma=sqrt%28%281.25%5E2%2F55%29%2B%281.82%5E2%2F58%29%29=.292\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "z=(4.64-4.03)/.292=2.09<BR>\n" );
document.write( "2.09 is greater than the acceptance region 1.28 which is z for a one tailed test with alpha of 0.10<BR>\n" );
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document.write( "c)<BR>\n" );
document.write( "Ho is accepted:  mean[A]>mean[B]<BR>\n" );
document.write( "P value of 2.09 is 0.018 which is the probability that Ho is false.<BR>\n" );
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document.write( "Ed </SPAN>\n" );
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