document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177829>Question 1177829</A>: <I><SPAN STYLE=\"word-break: break-all;\">  An employment information service claims the mean annual salary for full-time female workers over age 25 and without a high school diploma is more than $18,500.  The annual salaries (in dollars) for a random sample of 12 full-time female workers without a high school diploma are provided below.  At the 0.10 significance level, is there enough evidence to support the claim that the mean salary is more than $18,500? \r<BR>\n" );
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document.write( "Annual Salaries data: \r<BR>\n" );
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document.write( "19665 <BR>\n" );
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document.write( "17312 <BR>\n" );
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document.write( "19794 <BR>\n" );
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document.write( "20403 <BR>\n" );
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document.write( "21864 <BR>\n" );
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document.write( "20177 \r<BR>\n" );
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document.write( "18328 <BR>\n" );
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document.write( "22445 <BR>\n" );
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document.write( "21354 <BR>\n" );
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document.write( "20143 <BR>\n" );
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document.write( "19316 <BR>\n" );
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document.write( "20237 \r<BR>\n" );
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document.write( "Parameter: ___________________________              Statistic: ________________________________ \r<BR>\n" );
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document.write( "Ho: _______________________________            Significance Level: ___________________ \r<BR>\n" );
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document.write( "Ha: ______________________________________________ \r<BR>\n" );
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document.write( "Plan:\r<BR>\n" );
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document.write( "Check conditions: \r<BR>\n" );
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document.write( "Random: ___________, n>30:________ or Assume normal: _____\r<BR>\n" );
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document.write( "Mean of model: ___________________ \r<BR>\n" );
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document.write( "Standard error: ________________________ \r<BR>\n" );
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document.write( "d.f.:__________________________ \r<BR>\n" );
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document.write( "Direction of test:___________________  \r<BR>\n" );
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document.write( "Test statistic formula: \r<BR>\n" );
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document.write( "Calculation of test statistic and mark in model: \r<BR>\n" );
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document.write( "Decision in context: \r<BR>\n" );
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document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #806957 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=806957\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Parameter is mean salary for FTE women workers over 25 with no HS diploma<BR>\n" );
document.write( "Ho:Salary is > $18,500<BR>\n" );
document.write( "Ha: It is <=$18500<BR>\n" );
document.write( "alpha=0.10 P{reject Ho|Ho true}<BR>\n" );
document.write( "test statistic is a t 0.95, df=11. We assume normality, random sample and s may be used in place of sigma<BR>\n" );
document.write( "critical value t>1.363<BR>\n" );
document.write( "test stat t=(x bar-mean)/s/sqrt(n)=(20086.50-18500)/1417.74/sqrt(12)<BR>\n" );
document.write( "x bar=$20086.50; s=$1417.74 df=12<BR>\n" );
document.write( "t=(2586.50)*sqrt(12)/1417.74=<BR>\n" );
document.write( "t=3.88 reject Ho and supports the claim that the mean salary is indeed more than $18,500<BR>\n" );
document.write( "p-value 0.0013\r<BR>\n" );
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