document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=456318>Question 456318</A>: <I><SPAN STYLE=\"word-break: break-all;\"> QUESTIONS 1-5 ARE BASED ON THE FOLLOWING INFORMATION									<BR>\n" );
document.write( "The fill in bottles of a wine is normally distributed with mean &#956; = 750 milliliters (ml) and standard deviation of &#963; = 9 ml. 									<BR>\n" );
document.write( "									<BR>\n" );
document.write( "1	For samples of size n = 64 bottles selected from this population, the mean of the sampling distribution of x&#772; is _____ and the standard error of x&#772; ______.								<BR>\n" );
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document.write( "a	E(x&#772;) =	93.75	se(x&#772;) =	9					<BR>\n" );
document.write( "b	E(x&#772;) =	750	se(x&#772;) =	9					<BR>\n" );
document.write( "c	E(x&#772;) =	750	se(x&#772;) =	0.141					<BR>\n" );
document.write( "d	E(x&#772;) =	750	se(x&#772;) =	1.125					<BR>\n" );
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document.write( "2	\"The probability that the mean of a sample of n = 64 bottles falls between 748 and 752 ml is, <BR>\n" );
document.write( "P(748 < x&#772; < 752) = _____.\"								<BR>\n" );
document.write( "									<BR>\n" );
document.write( "a	0.9500								<BR>\n" );
document.write( "b	0.9250								<BR>\n" );
document.write( "c	0.8165								<BR>\n" );
document.write( "d	0.7154								<BR>\n" );
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document.write( "3	The proportion of the means obtained from samples of size n = 64 bottles that fall within ±1 ml from the mean of the population of bottles is _____.								<BR>\n" );
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document.write( "a	0.6827								<BR>\n" );
document.write( "b	0.6266								<BR>\n" );
document.write( "c	0.5223								<BR>\n" );
document.write( "d	0.4039								<BR>\n" );
document.write( "									<BR>\n" );
document.write( "4	The margin of error for the interval which contains 80% of all sample means is:  MOE = _______.								<BR>\n" );
document.write( "a	2.21	ml.							<BR>\n" );
document.write( "b	1.85	ml.							<BR>\n" );
document.write( "c	1.44	ml.							<BR>\n" );
document.write( "d	1.29	ml.							<BR>\n" );
document.write( "									<BR>\n" );
document.write( "5	To obtain a margin of error MOE = ± 1 ml for an interval that contains 95% of all sample means, the sample size is n = _____.								<BR>\n" );
document.write( "									<BR>\n" );
document.write( "a	312								<BR>\n" );
document.write( "b	217								<BR>\n" );
document.write( "c	159								<BR>\n" );
document.write( "d	122								<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #313234 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=313234\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)s=9/sqrt(64)=9/8=1.125<BR>\n" );
document.write( "m=750<BR>\n" );
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document.write( "2) <BR>\n" );
document.write( "z=2/1.125=1.78<BR>\n" );
document.write( "area under curve for +-1.78=.9250<BR>\n" );
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document.write( "3)<BR>\n" );
document.write( "1/1.125 = .89<BR>\n" );
document.write( "area under curve for +-0.89=0.6266<BR>\n" );
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document.write( "4)<BR>\n" );
document.write( "For the area under the curve of 0.8 the z=+-1.28<BR>\n" );
document.write( "1.28 * 9/8 = 1.44 ml<BR>\n" );
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document.write( "5)<BR>\n" );
document.write( "For the area under the curve of 0.95 the z=+-1.96<BR>\n" );
document.write( "1.96 * 9/sqrt(x)=1 ml<BR>\n" );
document.write( "sqrt(x)=1.96*9=17.64<BR>\n" );
document.write( "x=311.17=312 always round up.<BR>\n" );
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document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );