document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=386078>Question 386078</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with these homework questions:<BR>\n" );
document.write( "A special diet should reduce cholesterol below 200. An SRS of 50 patients at risk had an average cholesterol of -x(mean)=192, with standard deviation s=21. Is this sufficient evidence that the diet is effective? Assume the distribution of the cholesterol for patients is approximately normal with mean u. <BR>\n" );
document.write( "1)What is an appropriate hypothesis?<BR>\n" );
document.write( "I said that the appropriate hypothesis is<BR>\n" );
document.write( "Ho: u= 200, Ha: u> 200.<BR>\n" );
document.write( "Is this hypothesis correct?<BR>\n" );
document.write( "2)The appropriate degrees of freedom for this test are:<BR>\n" );
document.write( "I said 51 by using f = [ s12/&#963;12  ] / [ s22/&#963;22  ] <BR>\n" );
document.write( "Is this correct?<BR>\n" );
document.write( "3)Based on the data, one sample t-statistic is?<BR>\n" );
document.write( "I said 2.89 by using 200-192/21 x square root of (50/50-1)<BR>\n" );
document.write( "Is this correct?<BR>\n" );
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 #272985 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=272985\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A special diet should reduce cholesterol below 200. An SRS of 50 patients at risk had an average cholesterol of -x(mean)=192, with standard deviation s=21. Is this sufficient evidence that the diet is effective? Assume the distribution of the cholesterol for patients is approximately normal with mean u. <BR>\n" );
document.write( "1)What is an appropriate hypothesis?<BR>\n" );
document.write( "Ho: u>= 200, <BR>\n" );
document.write( "Ha: u< 200 (this is the claim; might as well make it a hypotheses)<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "2)The appropriate degrees of freedom for this test are:<BR>\n" );
document.write( "df = 49 because n = 50<BR>\n" );
document.write( "------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "3)Based on the data, one sample t-statistic is?<BR>\n" );
document.write( "t(192) = (192-200)/[21/sqrt(50) = -2.6937<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );