document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031500>Question 1031500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean starting salary for nurses is $67,694 nationally (\"Staff nurse -,\" 2013).<BR>\n" );
document.write( "The standard deviation is approximately $10,333. Assume that the starting salary<BR>\n" );
document.write( "is normally distributed.\r<BR>\n" );
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document.write( "e.) If a nurse made less than $50,000, would you think the nurse was under paid?<BR>\n" );
document.write( "Why or why not?<BR>\n" );
document.write( "f.) What salary do 30% of all nurses make more than?\r<BR>\n" );
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document.write( "(if you can provide explanation too it would be great) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #646188 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=646188\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> : The mean starting salary for nurses is $67,694 nationally (\"Staff nurse -,\" 2013).<BR>\n" );
document.write( "The standard deviation is approximately $10,333. Assume that the starting salary<BR>\n" );
document.write( "is normally distributed. <BR>\n" );
document.write( "e.) If a nurse made less than $50,000, would you think the nurse was under paid?<BR>\n" );
document.write( "Why or why not?<BR>\n" );
document.write( "------<BR>\n" );
document.write( "z(50,000) = (50000-67694)/10333 = -1.7124<BR>\n" );
document.write( "That means a salary of 50000 is 1.7124 standard deviations below<BR>\n" );
document.write( "the average that nurses are getting.<BR>\n" );
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document.write( "P(x < 50000) = P(z < -1.7124) = normalcdf(-100,-1.7124) = 0.043<BR>\n" );
document.write( "That means about 4% of nurses are getting a salary less than<BR>\n" );
document.write( "$50,000.00<BR>\n" );
document.write( "Opinion:: I think the nurse receiving 50,000 was underpaid.<BR>\n" );
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document.write( "f.) What salary do 30% of all nurses make more than?<BR>\n" );
document.write( "Find the z-value with a left tail of 70%<BR>\n" );
document.write( "z = invNorm(0.70) = 0.5244 <BR>\n" );
document.write( "The cutoff point on the z-scale is 0.5244 standard deviations above the mean.<BR>\n" );
document.write( "x = 0.5244*10333 + 67694 = $73112.63<BR>\n" );
document.write( "This is the lowest salary the top 30% of nurses receive.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "---------------------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );