document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=763047>Question 763047</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a prob/stat question. Hopefully someone will help since I am so lost right now. Trying to prepare for a test.\r<BR>\n" );
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document.write( "In a study the carapace lengths (in mm) of Thenus lobster caught near Singapore measured: 78, 66, 65, 63, 60, 60, 58, 56, 52, and 50 (the population data is approximately normal). Find (round to nearest hundredths):<BR>\n" );
document.write( "a.	The sample mean = __________ (s = 7.97)<BR>\n" );
document.write( "b.	The 90% confidence intervals for the population mean _________________.<BR>\n" );
document.write( "c.	The 70% confidence intervals for the population mean _________________.<BR>\n" );
document.write( "d.	The 80% confidence intervals for the population mean _________________.<BR>\n" );
document.write( "e.	How many would they need to sample to be 97% sure to be within 0.07 of the population mean? ______________.<BR>\n" );
document.write( "f.	How many more (than the original 10) would they need to sample to be 64% sure to be within 0.1 of the population mean? ______________.\r<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 #464421 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=464421\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a prob/stat question. Hopefully someone will help since I am so lost right now. Trying to prepare for a test. <BR>\n" );
document.write( "In a study the carapace lengths (in mm) of Thenus lobster caught near Singapore measured: 78, 66, 65, 63, 60, 60, 58, 56, 52, and 50 (the population data is approximately normal). Find (round to nearest hundredths):<BR>\n" );
document.write( "a. The sample mean = 60.8____ (s = 7.97)<BR>\n" );
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document.write( "b. The 90% confidence intervals for the population mean _________________.<BR>\n" );
document.write( "ME = 1.645 = 4.416<BR>\n" );
document.write( "CI::: 60.8-5.42 < u < 60.8+4.42<BR>\n" );
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document.write( "c. The 70% confidence intervals for the population mean _________________.<BR>\n" );
document.write( "Has a different ME:<BR>\n" );
document.write( "ME = 1.0364[7.97/sqrt(10)] = 2.61<BR>\n" );
document.write( "CI: 60.8-2.61 < u < 60.8+2.61<BR>\n" );
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document.write( "d. The 80% confidence intervals for the population mean _________________.<BR>\n" );
document.write( "Use a different ME<BR>\n" );
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document.write( "e. How many would they need to sample to be 97% sure to be within 0.07 of the population mean? ______________.<BR>\n" );
document.write( "n = [z*s/E]^2 = [2.17*7.97/0.07]^2 = 61,049 when rounded up<BR>\n" );
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document.write( "f. How many more (than the original 10) would they need to sample to be 64% sure to be within 0.1 of the population mean? ______________.<BR>\n" );
document.write( "n = [0.9154*7.97/0.01]^2 = 532238 when rounded up<BR>\n" );
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document.write( "You would need 53228 more samples.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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