document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=897168>Question 897168</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean SAT score in mathematics, &#956;, is 53. The standard deviation of these scores is 41. A special preparation course claims that its graduates will score higher, on average, than the mean score 503. A random sample of  70 students completed the course, and their mean SAT score in mathematics was 505. At the 0.05 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 41.\r<BR>\n" );
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document.write( "A.) Null Hypothesis: <BR>\n" );
document.write( "B.) Alternative Hypothesis:<BR>\n" );
document.write( "C.) The Value of the test statistic:<BR>\n" );
document.write( "D.) The P-Value:<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 #544108 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=544108\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The mean SAT score in mathematics, &#956;, is 503. The standard deviation of these scores is 41. <BR>\n" );
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document.write( "A special preparation course claims that its graduates will score higher, on average, than the mean score 503. <BR>\n" );
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document.write( "A random sample of 70 students completed the course, and their mean SAT score in mathematics was 505. <BR>\n" );
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document.write( "At the 0.05 level of significance, can we conclude that the preparation course does what it claims? <BR>\n" );
document.write( "Assume that the standard deviation of the scores of course graduates is also 41.<BR>\n" );
document.write( " A.) Null Hypothesis:<BR>\n" );
document.write( "Ho: u = 503<BR>\n" );
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document.write( "B.) Alternative Hypothesis:<BR>\n" );
document.write( "Ha: u > 503 (claim)<BR>\n" );
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document.write( " C.) The Value of the test statistic:<BR>\n" );
document.write( "z(505) = (505-503)/[41/sqrt(70)] = 2/4.9 = 0.4081<BR>\n" );
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document.write( " D.) The P-Value = P(z > 0.4081) = normalcdf(0.4081,100) = 0.34<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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