document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1112683>Question 1112683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help Please ! \r<BR>\n" );
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document.write( "A sample of 30 observations is selected from a normal population. The sample mean is 10, and the population standard deviation is 2. Conduct the following test of hypothesis using the 0.10 significance level.\r<BR>\n" );
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document.write( " H0: &#956; &#8804; 9<BR>\n" );
document.write( " H1: &#956; > 9\r<BR>\n" );
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document.write( "Q1)Is this a one- or two-tailed test?<BR>\n" );
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document.write( " One-tailed test ?<BR>\n" );
document.write( " Two-tailed test ?\r<BR>\n" );
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document.write( "Q2)What is the decision rule?<BR>\n" );
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document.write( "  Reject H0 when z > 1.282 ?<BR>\n" );
document.write( "  Reject H0 when z &#8804; 1.282 ?\r<BR>\n" );
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document.write( "Q3)What is the value of the test statistic? (Round your answer to 2 decimal places.)\r<BR>\n" );
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document.write( "Q4) What is your decision regarding H0?<BR>\n" );
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document.write( "  Reject H0<BR>\n" );
document.write( "  Fail to reject H0\r<BR>\n" );
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document.write( "Q5) What is the p-value? (Round your answer to 4 decimal places.)\r<BR>\n" );
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document.write( "Q6) Interpret the p-value? (Round your final answer to 2 decimal places.)<BR>\n" );
document.write( " There is a .......%chance of finding a z value this large by ''Sampling Eror'' When H0 is true\r<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 #727735 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=727735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two tail tests have an equal not equal dichotomy. This is one tail.<BR>\n" );
document.write( "The null hypothesis has mean of 9 and the sample has mean 10.  The z test will be positive z >1.282<BR>\n" );
document.write( "value of test statistic<BR>\n" );
document.write( "z=(x-mean)/sigma/sqrt(n)<BR>\n" );
document.write( "=(10-9)/2/sqrt(30)=1*sqrt(30)/2=2.74<BR>\n" );
document.write( "Reject Ho<BR>\n" );
document.write( "p-value is probability z > 2.74, and that is 0.0031.\r<BR>\n" );
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document.write( "If this result were by chance, it would occur about 3 times in a 1000. or 0.31% of the time.<BR>\n" );
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