document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127674>Question 1127674</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The reading speed of second grade students in a large city is approximately&#8203; normal, with a mean of 89 words per minute&#8203; (wpm) and a standard deviation of 10 wpm. Complete parts&#8203; (a) through&#8203; (e).<BR>\n" );
document.write( "&#8203;(a) What is the probability a randomly selected student in the city will read more than 93 words per&#8203; minute?<BR>\n" );
document.write( "The probability is <BR>\n" );
document.write( "0.3446 <BR>\n" );
document.write( "&#8203;(Round to four decimal places as&#8203; needed.) <BR>\n" );
document.write( "&#8203;(b) What is the probability that a random sample of 13 second grade students from the city results in a mean reading rate of more than 93 words per&#8203; minute? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744152 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=744152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The reading speed of second grade students in a large city is approximately&#8203; normal, with a mean of 89 words per minute&#8203; (wpm) and a standard deviation of 10 wpm. Complete parts&#8203; (a) through&#8203; (e).<BR>\n" );
document.write( "&#8203;(a) What is the probability a randomly selected student in the city will read more than 93 words per&#8203; minute?<BR>\n" );
document.write( "The probability is <BR>\n" );
document.write( "0.3446 <BR>\n" );
document.write( "&#8203;(Round to four decimal places as&#8203; needed.)<BR>\n" );
document.write( "0.3446 is correct <BR>\n" );
document.write( "z(93) = (93-89)/10 = 0.4<BR>\n" );
document.write( "Ans:: P(x > 93) = P(z > 0.4) = normalcdf(0.4,100) = 0.3664<BR>\n" );
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document.write( "&#8203;(b) What is the probability that a random sample of 13 second grade from the city results in a mean reading rate of more than 93 words per&#8203; minute?<BR>\n" );
document.write( "z(93) = (93-89)/(10/sqrt(13)) = sqrt(13)*0.4 = 1.4422<BR>\n" );
document.write( "Ans: p(x-bar > 93) = P(z > 1.4422) = normalcdf(1.4422,100) = 0.0746<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );