document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=927869>Question 927869</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average household income per year is &#956; = $ 15,000. For a random sample of 15 households in the area, the mean x-bar = 14,000 with a sample standard deviation of s = $2,000. Test the hypothesized value of the mean at the 5 percent level of significance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563308 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=563308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Previously Posted<BR>\n" );
document.write( "Ho: u = $15,000 (claim)<BR>\n" );
document.write( "Ha: u &#8800; $15,000<BR>\n" );
document.write( "......<BR>\n" );
document.write( "Sample: n = 15<BR>\n" );
document.write( " mean x-bar = 14,000 with a sample standard deviation of s = $2,000<BR>\n" );
document.write( ".......<BR>\n" );
document.write( "Test statistic: (14000-15000)/(2000/sqrt(15)) = -1.9365<BR>\n" );
document.write( "p-value: p( z < -1.9365) = normalcdf(-100, -1.9365) = .0264<BR>\n" );
document.write( "..........<BR>\n" );
document.write( ".05 level of significance....<BR>\n" );
document.write( ".0264 < .05, Reject Ho. <BR>\n" );
document.write( "The test results do NOT support the claim that  u = $15,000 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );