document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61950>Question 61950</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072868244/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I ask for your help with the listed two exercise problems.  Thank you for your help.\r<BR>\n" );
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document.write( "1.  The sample mean is 12 for a sample of 36. The population standard deviation is 3. Use the .02 significance level<BR>\n" );
document.write( "Ho:u _< 10   v should be moved under the line but I do not know how to do so.  \r<BR>\n" );
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document.write( "H1:u >10\r<BR>\n" );
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document.write( "2.  A sample of 64 observations is selected from a normal population. The sample mean is 215, and the sample standard deviation is 15. Conduct the following test of hypothesis using the .03 significance level. <BR>\n" );
document.write( "Ho: u >_ 220   _ should be moved just under > but I do not know how to do so.<BR>\n" );
document.write( "Ho: u < 220  <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 #42672 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=42672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. The sample mean is 12 for a sample of 36. The population standard deviation is 3. Use the .02 significance level.<BR>\n" );
document.write( "Ho:u <= 10 <BR>\n" );
document.write( "Ha:u >10 <BR>\n" );
document.write( "Population DATA: mu=10,sigma=3<BR>\n" );
document.write( "Sample DATA; n=36, s= 3/sqrt(36)=1/2, x-bar=12<BR>\n" );
document.write( "Critical value for one-tail test with alph=0.02 is 2.05<BR>\n" );
document.write( "Test statistic: z(12)=[12-10]/(1/2)=4<BR>\n" );
document.write( "Conclusion:<BR>\n" );
document.write( "Since the test statistic is > 2.05 we reject the null hypothesis.<BR>\n" );
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document.write( "2. A sample of 64 observations is selected from a normal population. The sample mean is 215, and the sample standard deviation is 15. Conduct the following test of hypothesis using the .03 significance level. <BR>\n" );
document.write( "Ho: u >= 220 <BR>\n" );
document.write( "Ho: u < 220 <BR>\n" );
document.write( "Population DATA: u=220 <BR>\n" );
document.write( "Sample DATA: n=64, s=15<BR>\n" );
document.write( "Critical Value for alpha = 0.03 = -1.88<BR>\n" );
document.write( "Test Statistic: t=-2.67<BR>\n" );
document.write( "Conclusion:<BR>\n" );
document.write( "Since the test statistic is to the left of the critical value<BR>\n" );
document.write( "reject the null hypothesis.<BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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