document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1069815>Question 1069815</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Having trouble on a. of the following problem: <BR>\n" );
document.write( "The State of California has a mean annual rainfall of 23.8 inches, whereas the state of New York has a mean annual rainfall of 46.3 inches. Assume the standard deviation for California is 6.3 inches and for New York is 8.2 inches. Find the probability that, for a sample of 45 years of rainfall for California, the mean annual rainfall is at least 25 inches. <BR>\n" );
document.write( "a. Show the probability distribution of the sample mean annual rainfall for California.<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 #684925 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=684925\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the sample distribution has is a t-distribution with 44 df and mean 23.8 and sd=6.3/sqrt(45)=0.939<BR>\n" );
document.write( "the probability it is more than 25 inches is t df=48>=(25-23.8)/0.939, or >+1.278.<BR>\n" );
document.write( "That probability is 0.1040. </SPAN>\n" );
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