document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1021692>Question 1021692</A>: <I><SPAN STYLE=\"word-break: break-all;\"> is this a normal distribution or sampling distribution question? and then how do you solve it?\r<BR>\n" );
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document.write( "The state of California has a mean annual rainfall of 27.6 inches, whereas the state of New York has a mean annual rainfall of 48.7 inches. Assume the standard deviation for California is 4.9 inches and for New York is 3.1 inches. Find the probability that, for a sample of 35 years of rainfall for California, the mean annual rainfall is at least 29 inches. (answer rounded 4 decimal places)\r<BR>\n" );
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document.write( "p(z=>29inches) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #637490 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=637490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is the usual normal distribution problem, but the r.v. X is the sample mean.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X%3E=29%29+=+P%28%28X+-+27.6%29%2F%284.9%2Fsqrt%2835%29%29+%3E=+%2829-27.6%29%2F%284.9%2Fsqrt%2835%29%29+=+0.169%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X%3E=29%29+=+P%28Z%3E=0.169%29 ALIGN=MIDDLE  ALT=\"P%28X%3E=29%29+=+P%28Z%3E=0.169%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now use your usual standard normal distribution table and scientific calculator to find the probability. </SPAN>\n" );
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