document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=925688>Question 925688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A normal population has a mean of 55 and a standard deviation of 13. You select a random sample of 25.\r<BR>\n" );
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document.write( "Compute the probability the sample mean is: (Round z values to 2 decimal places and final answers to 4 decimal places.)\r<BR>\n" );
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document.write( "(a)	Greater than 59.\r<BR>\n" );
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document.write( "  Probability =	  \r<BR>\n" );
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document.write( "(b)	Less than 51.\r<BR>\n" );
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document.write( "   Probability =	  \r<BR>\n" );
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document.write( "(c)	Between 51 and 59.\r<BR>\n" );
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document.write( "  Probability =	  <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 #561683 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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/cgi-bin/show-face.mpl?user=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=561683\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean = 55, SD = 13 , n = 25  z =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=blue+%28x+-+55%29%2Fblue%2813%2Fsqrt%2825%29%29 ALIGN=MIDDLE  ALT=\"blue+%28x+-+55%29%2Fblue%2813%2Fsqrt%2825%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Using the z-value to determine the Probability:<BR>\n" );
document.write( "P(x > 59) = P(z > 4/2.6) = P(z > 1.54) = 1 - P(z < 1.54) = .0618<BR>\n" );
document.write( " Using a TI calculator 0r similarly a Casio fx-115 ES plus<BR>\n" );
document.write( "P(z > 1.54) = normalcdf(1.54,100) = .0618<BR>\n" );
document.write( ".............<BR>\n" );
document.write( "P(x < 51) = P( z < -4/2.6) = P( z < -1.54) = normalcdf(-100, 1.54) =  .0618<BR>\n" );
document.write( "......<BR>\n" );
document.write( "P(51 < x < 59) = P( -1.54 < z < 1.54) =  1 - .0618 - .0618 = .8764<BR>\n" );
document.write( "Or<BR>\n" );
document.write( " Using a TI calculator 0r similarly a Casio fx-115 ES plus<BR>\n" );
document.write( "P( -1.54 < z < 1.54) = normalcdf(-1.54, 1.54)= .8764 </SPAN>\n" );
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