document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=982178>Question 982178</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You receive a brochure from a large university. The brochure indicates that the mean class size for&#8203; full-time faculty is fewer than 33 students. You want to test this claim. You randomly select 18 classes taught by&#8203; full-time faculty and determine the class size of each. The results are shown in the table below. At a&#945;equals=0.01&#8203;, can you support the&#8203; university's claim? Complete parts&#8203; (a) through&#8203; (c) below. Assume the population is normally distributed\r<BR>\n" );
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document.write( "35 28 26 33 34 40 25 25 31 29 33 39 33 29 24 32 31 23\r<BR>\n" );
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document.write( "A. What is the P value?<BR>\n" );
document.write( "B. Decide whether to reject or fail to reject the null hypothesis<BR>\n" );
document.write( "C. Interpret the decision in the context of the original claim </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #603043 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=603043\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You receive a brochure from a large university. The brochure indicates that the mean class size for&#8203; full-time faculty is fewer than 33 students.<BR>\n" );
document.write( "Ho: u = 33 (claim)<BR>\n" );
document.write( "Ha: u # 33<BR>\n" );
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document.write( "You want to test this claim. You randomly select 18 classes taught by&#8203; full-time faculty and determine the class size of each. The results are shown in the table below. <BR>\n" );
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document.write( "At a&#945; equals=0.01&#8203;, can you support the&#8203; university's claim? \r<BR>\n" );
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document.write( "Complete parts&#8203; (a) through&#8203; (c) below. Assume the population is normally distributed <BR>\n" );
document.write( "35 28 26 33 34 40 25 25 31 29 33 39 33 29 24 32 31 23<BR>\n" );
document.write( "sample mean = 30.56<BR>\n" );
document.write( "std = 4.89<BR>\n" );
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document.write( "test stat: t(30.56) = (30.56-33)/[4.89/sqrt(18)] = 1.1526<BR>\n" );
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document.write( "A. What is the P value?<BR>\n" );
document.write( "This is a 2-tail test, so <BR>\n" );
document.write( "p = 2*P(t > 1.1526 when df = 17) = 2*tcdf(1.1526,100,17) = 2*0.1325 = 0,2650<BR>\n" );
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document.write( "B. Decide whether to reject or fail to reject the null hypothesis<BR>\n" );
document.write( "Since the p-value is greater han 1%, fail to reject Ho.<BR>\n" );
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document.write( "C. Interpret the decision in the context of the original claim<BR>\n" );
document.write( "The test results support the claim that the mean = 33.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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