document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143140>Question 143140</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2.  A 1990 census report revealed that the mean distance that U. S. citizens live from their birthplace is 50 miles and that the standard deviation is 15 miles. A random sample of 49 residents of your city yielded a mean distance of 56 miles. \r<BR>\n" );
document.write( "\n" );
document.write( "a. Set up the null and alternative hypotheses to test if the mean distance from residence to birthplace for people living in your city differs from the census report.\r<BR>\n" );
document.write( "\n" );
document.write( "b. Test your hypothesis using &#945; = 0.01.\r<BR>\n" );
document.write( "\n" );
document.write( "c. Find the p value.\r<BR>\n" );
document.write( "\n" );
document.write( "d. Based on the results of the study, what can you conclude? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104297 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=104297\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A 1990 census report revealed that the mean distance that U. S. citizens live from their birthplace is 50 miles and that the standard deviation is 15 miles. A random sample of 49 residents of your city yielded a mean distance of 56 miles. <BR>\n" );
document.write( "a. Set up the null and alternative hypotheses to test if the mean distance from residence to birthplace for people living in your city differs from the census report.<BR>\n" );
document.write( "Ho: u = 50<BR>\n" );
document.write( "Ha: u is not equal to 50<BR>\n" );
document.write( "------------------------------------ <BR>\n" );
document.write( "b. Test your hypothesis using &#945; = 0.01.<BR>\n" );
document.write( "z(56) = (56-50)/[15/sqrt(49)] = 2.8<BR>\n" );
document.write( "--------------------------------------- <BR>\n" );
document.write( "c. Find the p value.<BR>\n" );
document.write( "p-value is 2P(2.8 < z < 10) = 2(0.002556...) = 0.00511...<BR>\n" );
document.write( "--------------------------------------- <BR>\n" );
document.write( "d. Based on the results of the study, what can you conclude?<BR>\n" );
document.write( "Since p-value is less than 1%, reject Ho.<BR>\n" );
document.write( "The mean travel distance is not equal to 50.<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );