document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105652>Question 1105652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assuming. X is normally distributed on average he was stuck for u=20 minutes a random selection of five days showed the delay to have a mean =15.2 minutes with a sample deviation of 6.3 minutes does this mean the delay is now shorter use significant level .05 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720542 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=720542\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming. X is normally distributed on average he was stuck for u=20 minutes.<BR>\n" );
document.write( "A random selection of five days showed the delay to have a mean =15.2 minutes with a sample deviation of 6.3 minutes. Does this mean the delay is now shorter? <BR>\n" );
document.write( "Use significant level .05.<BR>\n" );
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document.write( "Ho: u >= 20<BR>\n" );
document.write( "Ha: u < 20 (claim)<BR>\n" );
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document.write( "Since sample deviation = 6.3, std = 6.3*sqrt(5) = 14.09<BR>\n" );
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document.write( "z(15.2) = (15.2-20)/14.09 = -0.34<BR>\n" );
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document.write( "p-value = P(z < -0.34) = normalcdf(-100,-0.34) = 0.63<BR>\n" );
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document.write( "Conclusion:: Since the p-value is greater than 0.05, fail<BR>\n" );
document.write( "to reject Ho.<BR>\n" );
document.write( "Conclusion:: The test results do not support the claim that<BR>\n" );
document.write( "u < 20 sec.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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