document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=424703>Question 424703</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diameter of grapefruit in a certain orchard are normally distributed with a mean of 5.73 and a standard deviation of 0.48 inches.show all work.\r<BR>\n" );
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document.write( "What % of the grapefruit in this orchard is larger than 5.93?\r<BR>\n" );
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document.write( "A random sample of 100 grapefruit is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 5.93?\r<BR>\n" );
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document.write( "Thank You\r<BR>\n" );
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document.write( "Becky\r<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 #295980 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=295980\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The diameter of grapefruit in a certain orchard are normally distributed with a mean of 5.73 and a standard deviation of 0.48 inches.show all work. <BR>\n" );
document.write( "What % of the grapefruit in this orchard is larger than 5.93?<BR>\n" );
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document.write( "z(5.93) = (5.93-5.73)/0.48 = 0.4167<BR>\n" );
document.write( "P(x > 5.93) = P(z > 0.4167) = 0.3385<BR>\n" );
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document.write( "A random sample of 100 grapefruit is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 5.93?<BR>\n" );
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document.write( "z(5.93) = (5.93-5.73)/[0.48/sqrt(100)] = 4.167<BR>\n" );
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document.write( "P(x-bar > 5.93) = P(z > 4.1667) = 0.00001546..<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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