document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182902>Question 1182902</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The state of CT claims that the average time on death row is 15 years.<BR>\n" );
document.write( "A random survey of 75 death row inmates revealed the average time on death row is 16 years with a standard deviation of 5.7 years.<BR>\n" );
document.write( "Conduct a hypothesis to test the state of CT's claim.\r<BR>\n" );
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document.write( "a. What type of test should be run?<BR>\n" );
document.write( "   t-test of a mean\r<BR>\n" );
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document.write( "b. The alternative hypothesis indicates a <BR>\n" );
document.write( "   two-tailed test\r<BR>\n" );
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document.write( "c. Calculate the p-value.\r<BR>\n" );
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document.write( "d. What is the decision?<BR>\n" );
document.write( "We fail to reject the claim that the average time on death row is 15 years. <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 #813030 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=813030\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a t-test, 2-2way<BR>\n" );
document.write( "critical value will be |t| ((df=74)}>1.99, if we use alpha=0.05 p{reject Ho|Ho true}<BR>\n" );
document.write( "t=(x bar-mean)/s/sqrt(n)<BR>\n" );
document.write( "=(16-15)*sqrt(75)/5.7<BR>\n" );
document.write( "=1.519<BR>\n" );
document.write( "fail to reject Ho; insufficient evidence that the average time is not 15 years.<BR>\n" );
document.write( "p-value =0.13\r<BR>\n" );
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