document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186912>Question 186912</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The employees of Jones Construction Co. are allowed a 30-minute lunch break. The union wants to know if the employees are actually taking breaks that are less than 30 minutes. The union decides to record the times taken for the next 25 breaks taken at the site. The data are summarized as follows:<BR>\n" );
document.write( "				sample mean = 28.84 min<BR>\n" );
document.write( "				sample standard deviation = 5.145 min<BR>\n" );
document.write( "		a.	State the appropriate null and alternative hypotheses.<BR>\n" );
document.write( "		b.	Calculate the test statistic.	<BR>\n" );
document.write( "		c.	At &#61537; = 0.05, should the union reject the null hypothesis?<BR>\n" );
document.write( "d.	What conclusion can the union present to the owner<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140137 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=140137\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The employees of Jones Construction Co. are allowed a 30-minute lunch break. The union wants to know if the employees are actually taking breaks that are less than 30 minutes. The union decides to record the times taken for the next 25 breaks taken at the site. The data are summarized as follows:<BR>\n" );
document.write( "sample mean = 28.84 min<BR>\n" );
document.write( "sample standard deviation = 5.145 min<BR>\n" );
document.write( "----------------------------------------------------------------<BR>\n" );
document.write( "a. State the appropriate null and alternative hypotheses.<BR>\n" );
document.write( "Ho: u = 30<BR>\n" );
document.write( "Ha: u < 30<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "b. Calculate the test statistic.<BR>\n" );
document.write( "z(28.84) = (28.84-30)/[5.145/sqrt(25)] = -1.1273<BR>\n" );
document.write( "The p-value = P(-10 < z < -1.1273) = 0.1298<BR>\n" );
document.write( "------------------------- <BR>\n" );
document.write( "c. At alpha = 0.05, should the union reject the null hypothesis?<BR>\n" );
document.write( "Since the p-value is greater thaen 5%, Fail to reject Ho.<BR>\n" );
document.write( "---------------------------------------------------------<BR>\n" );
document.write( "d. What conclusion can the union present to the owner<BR>\n" );
document.write( "This study does not support the union claim that the workers<BR>\n" );
document.write( "are taking less than 30 minutes for lunch.<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" );