document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=326798>Question 326798</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 8.	In order to test H0: &#956; = 40 versus H1: &#956; > 40, a random sample of size n = 25 is obtained from a population that is known to be normally distributed.\r<BR>\n" );
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document.write( "a)	If the sample mean is determined to be 42.3 and s = 4.3, compute the test statistic.\r<BR>\n" );
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document.write( "b)	If the researcher decides to test this hypothesis at the &#945; = 0.1 level of significance, determine the critical value.\r<BR>\n" );
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document.write( "c)	Draw a normal curve that depicts the critical region.\r<BR>\n" );
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document.write( "d)	Will the researcher reject the null hypothesis?<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 #234531 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=234531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  In order to test H0: &#956; = 40 versus H1: &#956; > 40, a random sample of size n = 25 is obtained from a population that is known to be normally distributed. \r<BR>\n" );
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document.write( "a) If the sample mean is determined to be 42.3 and s = 4.3, compute the test statistic.<BR>\n" );
document.write( "t(42.3) = (42.3-40)/[4.3/sqrt(25)] = 2.6744<BR>\n" );
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document.write( "b) If the researcher decides to test this hypothesis at the &#945; = 0.1 level of significance, determine the critical value.<BR>\n" );
document.write( "CV = invT(0.975 when df = 24) = 2.0639<BR>\n" );
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document.write( "c) Draw a normal curve that depicts the critical region.<BR>\n" );
document.write( "I'll leave that to you.<BR>\n" );
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document.write( "d) Will the researcher reject the null hypothesis?<BR>\n" );
document.write( "Since the test stat is in the reject interval, reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "stan H.\r<BR>\n" );
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