document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196953>Question 1196953</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 405 grams and a standard deviation of 21 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final answers to 2 decimal places.)\r<BR>\n" );
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document.write( "Middle 60 percent_____to_____<BR>\n" );
document.write( "Highest 80 percent<BR>\n" );
document.write( "Lowest 15 percent<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 #830058 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=830058\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i used the ti-84 plus.<BR>\n" );
document.write( "middle 60 percent has area between z-score = -.8416212335 and z-score = .8416212335<BR>\n" );
document.write( "round to 3 decimal places to get from z-score -.842 to .842<BR>\n" );
document.write( "highest 80 percent has area to the right of z-score = -.8416212335<BR>\n" );
document.write( "round to 3 decimal places to get area to the right of z-score = -.842<BR>\n" );
document.write( "lowest 15 percent has area to the left of z-score = - 1.03643330<BR>\n" );
document.write( "round to 3 decimal places to get area to the left of z-score = -1.036<BR>\n" );
document.write( "i confirmed these results were accurate using the online normal distribution calculator at <a  rel=nofollow HREF= \"https://davidmlane.com/hyperstat/z_table.html\" target = \"_blank\">https://davidmlane.com/hyperstat/z_table.html</a>.<BR>\n" );
document.write( "here are the results from using that calculator.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2022/100702.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2022/100703.jpg\"><BR>\n" );
document.write( "the commands you would use with excel and the result of using those commands is shown below.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2022/100704.jpg\"><BR>\n" );
document.write( "normsinv() gets you the z-score that has the specified area to the left of it.<BR>\n" );
document.write( "normsdist() gets you the area to the left of the specified z-score.<BR>\n" );
document.write( "to get the z-scores that has have an area of .6 between them, you would do the following.<BR>\n" );
document.write( "find the area to the left and right of .6.<BR>\n" );
document.write( "since the whole area is 1, then .2 is the area to the left of .6 and .2 is the area to the right of .6 because .2 + .6 + .2 = 1<BR>\n" );
document.write( "the low z-score will have an area of .2 to the left of it.<BR>\n" );
document.write( "the high z-score will have an area of .8 to the left of it.<BR>\n" );
document.write( "the .8 to the left of the high z-score contains .2 + .6 = .8<BR>\n" );
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