document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193690>Question 1193690</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A data set includes data from student evaluations of courses. The summary statistics are n=96, x = 3.43, s = 0.51. Use a 0.01<BR>\n" );
document.write( "significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that<BR>\n" );
document.write( "addresses the original claim.\r<BR>\n" );
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document.write( "What are the null and alternative hypotheses?\r<BR>\n" );
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document.write( "Determine the test statistic.\r<BR>\n" );
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document.write( "Determine the P-Value.\r<BR>\n" );
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document.write( "State the final conclusion that addresses the original claim.<BR>\n" );
document.write( "(Reject, fail to reject)H 0 There is (not sufficient,sufficient)evidence to conclude that the mean of the population of student course evaluations is equal to 3.50 (is,is not)correct<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825717 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=825717\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: mean is 3.50<BR>\n" );
document.write( "Ha: it isn't 3.50<BR>\n" );
document.write( "alpha=0.01 p{reject Ho|Ho true}<BR>\n" );
document.write( "test stat is a t (0.995, df=95)<BR>\n" );
document.write( "critical value is |t|>2.63<BR>\n" );
document.write( "t=((3.43-3.50)/0.51/sqrt(96)<BR>\n" );
document.write( "=-0.07*sqrt(96)/0.51<BR>\n" );
document.write( "=-1.345<BR>\n" );
document.write( "p-value =0.18<BR>\n" );
document.write( "fail ro reject<BR>\n" );
document.write( "insufficient evidence to say the mean is different from 3.50. </SPAN>\n" );
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