document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=285475>Question 285475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The health of employees is monitored by periodically weighing them in. A sample of 54<BR>\n" );
document.write( "employees has a mean weight of 175.2 lb. Assuming that &#1049495; is known to be 121.2 lb, use a<BR>\n" );
document.write( "0.10 significance level to test the claim that the population mean of all such employees<BR>\n" );
document.write( "weights is less than 200 lb.<BR>\n" );
document.write( "Perform a hypothesis test </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #207057 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=207057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The health of employees is monitored by periodically weighing them in. <BR>\n" );
document.write( "A sample of 54 employees has a mean weight of 175.2 lb. <BR>\n" );
document.write( "Assuming that &#56256;&#57239; is known to be 121.2 lb, use a<BR>\n" );
document.write( "0.10 significance level to test the claim that the population mean of all such employees weights is less than 200 lb.<BR>\n" );
document.write( "Perform a hypothesis test<BR>\n" );
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document.write( "Ho: u >= 200<BR>\n" );
document.write( "Ha: u < 200 (claim)<BR>\n" );
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document.write( "sample mean = 175.2; sample standard deviation = 121.2<BR>\n" );
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document.write( "test statistic: t(175.2) = (175.2-200)/[121.2/sqrt(54)] = -1.5036..<BR>\n" );
document.write( "p-value: P(t<-1.5036 with df= 53) = tcdf(-10,-1,5036,53) = 0.0693<BR>\n" );
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document.write( "Conclusion: Since the p-value is less than 10% reject Ho.<BR>\n" );
document.write( "The test results support the claim.<BR>\n" );
document.write( "=======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );