document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=508946>Question 508946</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hypothesis test for the population mean: t test  <BR>\n" );
document.write( "An electronics manufacturing process has a scheduled mean completion time of 70 minutes. It is claimed that, under new management, the mean completion time, &#61549;, is less than 70 minutes. To test this claim, a random sample of 17 completion times under new management was taken. <BR>\n" );
document.write( "The sample had a mean completion time of 66 minutes and a standard deviation of 9.5 minutes. Assume that the population of completion times under new management is normally distributed. At the .05 level of significance, can it be concluded that the mean completion time, &#61549;, under new management is less than the scheduled mean? That is, do you reject or not reject the null hypothesis? What is the critical value of t? Explain your decision fully with reference to the output. <BR>\n" );
document.write( "Perform a one-tailed test. <BR>\n" );
document.write( "Hypothesis Test: Mean vs. Hypothesized Value<BR>\n" );
document.write( "					<BR>\n" );
document.write( "	70.00 	hypothesized value		<BR>\n" );
document.write( "	66.00 	mean Etext1			<BR>\n" );
document.write( "	9.50 	std. dev.			<BR>\n" );
document.write( "	2.30 	std. error			<BR>\n" );
document.write( "	17  	n			<BR>\n" );
document.write( "	16  	df			<BR>\n" );
document.write( "					<BR>\n" );
document.write( "	-1.74	 t			<BR>\n" );
document.write( "	.0509	 p-value (one-tailed, lower)	<BR>\n" );
document.write( "					<BR>\n" );
document.write( "	61.12 	confidence interval 95.% lower	<BR>\n" );
document.write( "	70.88 	confidence interval 95.% upper	<BR>\n" );
document.write( "	4.88 	   half-width			<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 #341268 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=341268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: u >= 70<BR>\n" );
document.write( "Ha: u < 70 (claim)<BR>\n" );
document.write( "---------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Since the p-value is greater than 5% you should fail to<BR>\n" );
document.write( "reject Ho.<BR>\n" );
document.write( "The test results do not support the claim.<BR>\n" );
document.write( "However, the test results are so close to 5% that<BR>\n" );
document.write( "testing should be continued.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );