document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1009836>Question 1009836</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that IQ score for a certain population are approximately N (&#956;, 100). To test H0:&#956; = 110 against the one sided alternative hypothesis H1 :&#956; > 110, we take a random sample of size n= 16 from this population and observe the mean to be 113.5. Do we accept or reject the null at the 5% or 10% significance levels? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #625322 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=625322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume that IQ score for a certain population are approximately N (&#956;, 100). To test H0:&#956; = 110 against the one sided alternative hypothesis H1 :&#956; > 110, we take a random sample of size n= 16 from this population and observe the mean to be 113.5. Do we accept or reject the null at the 5% or 10% significance levels? <BR>\n" );
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document.write( "t(113.5) = (113.5-110)/[100/sqrt(16) = 0.14<BR>\n" );
document.write( "p-value = P(t > 0.14 when df = 15) = tcdf(0.14,100,15) = 5<BR>\n" );
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document.write( "Since the p-value is greater than 5%, reject Ho.<BR>\n" );
document.write( "Sint e p-value is greater than 10%, reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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