document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=662745>Question 662745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diameters of apples in a certain orchard are normally distributed with a mean of 4.77 inches and a standard deviation of 0.43 inches. Show all work.\r<BR>\n" );
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document.write( "(A) What percentage of apples in this orchard is larger than 4.71 inches?<BR>\n" );
document.write( "(B) A random sample of 100 apples is gathers and the mean diameter is calculated. What is the probability that the samply that the sample mean is greater than 4.71 inches?\r<BR>\n" );
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document.write( "Please, I need help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #412457 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=412457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The diameters of apples in a certain orchard are normally distributed with a mean of 4.77 inches and a standard deviation of 0.43 inches. Show all work. <BR>\n" );
document.write( "(A) What percentage of apples in this orchard is larger than 4.71 inches?<BR>\n" );
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document.write( "z(4.71) = (4.71-4.77)/0.43 = -0.06/0.43 = -0.1395<BR>\n" );
document.write( "P(x > 4.71) = P(z > -0.1395) = normalcdf(-0.1395,100) = 0.5555<BR>\n" );
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document.write( "(B) A random sample of 100 apples is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 4.71 inches?<BR>\n" );
document.write( "x-bar = 4.71<BR>\n" );
document.write( "std for the distribution of sample means when n = 100  = 0.43/sqrt(100) <BR>\n" );
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document.write( "z(4.71) = (4.71-4.77)/(0.43/sqrt(100)) = -1.3953<BR>\n" );
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document.write( "P(x-bar > 4.71) = P(z > -1.3953) = normalcdf(-1.3953,100) = 0.9185<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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