document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186171>Question 1186171</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the following random sample observations on stabilized viscosity of asphalt specimens:\r<BR>\n" );
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document.write( "2074, 2101, 2029, 1822, 2072\r<BR>\n" );
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document.write( "Suppose that for a particular application, it is required that true average viscosity be 2000. Is there evidence this requirement is not satisfied (i.e. evidence that true average viscosity is different from 2000)? From previous findings we know that viscosity is normally distributed with a standard deviation of σ=90. \r<BR>\n" );
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document.write( "Calculate the p-value. Round your answer to three decimal places.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817225 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=817225\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean is 2019.6 (poise)<BR>\n" );
document.write( "Ho: mean is 2000<BR>\n" );
document.write( "Ha: mean is not 2000<BR>\n" );
document.write( "alpha unknown, will use 0.05 p{reject Ho|Ho true}<BR>\n" );
document.write( "test statistic a z, reject when |z| > 1.96<BR>\n" );
document.write( "z=(2019.6-2000)/90/sqrt(5)<BR>\n" );
document.write( "=0.4870<BR>\n" );
document.write( "probability double z of 0.4870 which is 0.3131<BR>\n" );
document.write( "fail to reject Ho<BR>\n" );
document.write( "insufficient evidence to suggest the viscosity is different from 2000<BR>\n" );
document.write( "p-value double above or 0.626\r<BR>\n" );
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