document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129223>Question 1129223</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean income per person in the United States is $50,000 and the distribution of incomes follows as normal distribution. A random sample of 10 residents of Wilmington, Delaware had a mean of $60,000 wit a standard deviation of $10,000 .05 SIG LEVEL  Need the Ho HI one tail, critical value, sample mean, Z value </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #745791 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=745791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: mean income is <=50000<BR>\n" );
document.write( "Ha: mean income is >50000<BR>\n" );
document.write( "alpha is 0.05, critical value is 1.645<BR>\n" );
document.write( "z=(x bar- mean)/sigma/sqrt(n) (I would use t here, although difference would not be great)<BR>\n" );
document.write( "=10000/(10000/sqrt(10))<BR>\n" );
document.write( "=10000*sqrt(10)/10000=3.16. This is the Z value,  Sample mean is $60,000<BR>\n" );
document.write( "One would reject Ho at the 0.05 level.  p-value is 0.0008<BR>\n" );
document.write( "conclude the mean income in Wilmington is > $50000.   </SPAN>\n" );
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