document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196930>Question 1196930</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population of weights of a particular fruit is normally distributed, with a mean of 328 grams and a standard deviation of 28 grams. If 8 fruits are picked at random, then 12% of the time, their mean weight will be greater than how many grams? Round your answer to the nearest gram.<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 #829983 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=829983\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> population mean = 328 grams<BR>\n" );
document.write( "population standard deviation = 28 grams<BR>\n" );
document.write( "sample size is 8 pieces of fruit<BR>\n" );
document.write( "standard error = standard deviation / square root of sample size = 28 / sqrt(8) = 9.8995 rounded to 4 decimal places.<BR>\n" );
document.write( "z-score = inverse(.88) = 1.175<BR>\n" );
document.write( "88% of the sample means will be below that and 12% will be above that.<BR>\n" );
document.write( "raw score = z * standard error + population mean = 1.175 * 9.8995 + 328 = 339.6319 rounded to 4 decimal places.<BR>\n" );
document.write( "88% of the raw scores will be below that and 12% will be above that.<BR>\n" );
document.write( "here's what it looks like on a z-score graphing calculator.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2022/100601.jpg\"><BR>\n" );
document.write( "calculator can be found at <a  rel=nofollow HREF= \"https://davidmlane.com/hyperstat/z_table.html\" target = \"_blank\">https://davidmlane.com/hyperstat/z_table.htmlhttps://davidmlane.com/hyperstat/z_table.html</a><BR>\n" );
document.write( "since you are dealing with the mean of the sample, you need the standard error and not the standard deviation.<BR>\n" );
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