document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=455854>Question 455854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> .      An average computer mouse inspector can inspect 40 mice per hour with a population standard deviation of 8 mice per hour.  The 50 computer mice inspectors at a particular factory can only inspect 34 mice per hour.  Does the company have reason to believe that these inspectors are slower than average at &#945; = 0.10?\r<BR>\n" );
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document.write( "A)     Yes, because the test value –5.30 falls in the noncritical region.<BR>\n" );
document.write( "B)     No, because the test value –3.03 falls in the critical region.<BR>\n" );
document.write( "C)     Yes, because the test value –5.30 falls in the critical region.<BR>\n" );
document.write( "D)     No, because the test value –3.03 falls in the noncritical region.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #313031 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=313031\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An average computer mouse inspector can inspect 40 mice per hour with a population standard deviation of 8 mice per hour. The 50 computer mice inspectors at a particular factory can only inspect 34 mice per hour. Does the company have reason to believe that these inspectors are slower than average at &#945; = 0.10?<BR>\n" );
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document.write( "Ho: u50 - uave >= 0<BR>\n" );
document.write( "Ha: u(50)-uave < 0 (claim)<BR>\n" );
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document.write( "test stat: t(34) = (34-40)/[8/sqrt(49)] = -5.25<BR>\n" );
document.write( "p-value = P(t < -5.25 when df = 49) = tcdf(-100,-5.25,49) = 0.0000016323..<BR>\n" );
document.write( "Reject Ho.<BR>\n" );
document.write( "Test values support the claim these inspectors are slower than average.<BR>\n" );
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document.write( "Critical value = invT(0.10 when df = 49) = -1.2991<BR>\n" );
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document.write( "Ans: C<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "A) Yes, because the test value –5.30 falls in the noncritical region.<BR>\n" );
document.write( "B) No, because the test value –3.03 falls in the critical region.<BR>\n" );
document.write( "C) Yes, because the test value –5.30 falls in the critical region.<BR>\n" );
document.write( "D) No, because the test value –3.03 falls in the noncritical region.\r<BR>\n" );
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