document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=518993>Question 518993</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4.	A nursing station in a large hospital has determined that the average amount of time applied to each patient on their floor has been about 36 minutes a day with a standard deviation of 12 minutes. \r<BR>\n" );
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document.write( "a.	What is the probability that a random sample of 49 patients would average less than 33 minutes of attention or care?\r<BR>\n" );
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document.write( "b.	This nursing station knows that whenever the average time of care exceeds 42 minutes, they need to add another nurse. What is the likelihood of this?<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 #345324 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=345324\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A nursing station in a large hospital has determined that the average amount of time applied to each patient on their floor has been about 36 minutes a day with a standard deviation of 12 minutes.<BR>\n" );
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document.write( "a. What is the probability that a random sample of 49 patients would average less than 33 minutes of attention or care?<BR>\n" );
document.write( "z(33) = (33-36)/[12/sqrt(49)] = =1.75<BR>\n" );
document.write( "P(x-bar < 33) = P(z < -1.75) = 0.0401<BR>\n" );
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document.write( "b. This nursing station knows that whenever the average time of care exceeds 42 minutes, they need to add another nurse. What is the likelihood of this?<BR>\n" );
document.write( "z(42) = (42-36)/12 = 1/2<BR>\n" );
document.write( "P(x > 42) = P(z > 1/2) = 0.3085<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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