document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=726053>Question 726053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hundred squash balls are tested from the height of the bounce. A ball is fast if it rises above 32 inches. The average height of the bounce was 30inches and the standard deviation was 3/4 inches. What is the chance of getting a fast standard ball. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #444460 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=444460\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the mean is 30 inches.\r<BR>\n" );
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document.write( "the standard deviation is 3/4 inch.\r<BR>\n" );
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document.write( "to find p(x > 32) you need to calculate the z-score to get:\r<BR>\n" );
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document.write( "z = (32 - 30) / (3/4) which is equal to 8/3.\r<BR>\n" );
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document.write( "that's a z-score of 2.67 rounding to two decimal places.\r<BR>\n" );
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document.write( "the formula to find the z-score is:\r<BR>\n" );
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document.write( "z-score = (value - mean) / (standard deviation)\r<BR>\n" );
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document.write( "look up in the z-score tables for a z-score of 2.67 and you will find that the probability of the z-score being less than 2.67 is equal to .9962.\r<BR>\n" );
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document.write( "The probability of the z-score being greater than 2.67 is equal to 1 - .9962 which is equal to .0038.\r<BR>\n" );
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document.write( "the z-score table that i used is shown below:\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://lilt.ilstu.edu/dasacke/eco148/ztable.htm\" target = \"_blank\">http://lilt.ilstu.edu/dasacke/eco148/ztable.htm</a> </SPAN>\n" );
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