document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=490332>Question 490332</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help...am so confused...taking stats online and have no teacher...thanks a bunch\r<BR>\n" );
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document.write( "The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.44 inches and a standard deviation of 0.41 inches.  Show all work. \r<BR>\n" );
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document.write( "(A)  What percentage of the grapefruits in this orchard is larger than 5.36 inches? \r<BR>\n" );
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document.write( "(B)  A random sample of 100 grapefruits is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 5.36 inches? <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 #333998 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=333998\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.44 inches and a standard deviation of 0.41 inches. Show all work. <BR>\n" );
document.write( "(A) What percentage of the grapefruits in this orchard is larger than 5.36 inches?<BR>\n" );
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document.write( "z(5.36) = (5.36-5.44)/0.41 = -0.1951<BR>\n" );
document.write( "P(x > 5.36) = P(z > -0.1951) = 0.5774<BR>\n" );
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document.write( "(B) A random sample of 100 grapefruits is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 5.36 inches? <BR>\n" );
document.write( "t(5.36) = (5.36-5.44)/[0.41/sqrt(100)] = -1.9512<BR>\n" );
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document.write( "P(x-bar > 5.36) = P(t > -1.9512 when df = 99) = 0.9731<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. \r<BR>\n" );
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