document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=447271>Question 447271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When a production process is operating correctly, the number of units produced per hour has a normal distribution with a mean of 100 and standard deviation of 10. A random sample of 4 hours was taken. Complete parts (a) through (d)<BR>\n" );
document.write( "a. Find the mean of the sampling distribution of the sample means.<BR>\n" );
document.write( "b. Find variance<BR>\n" );
document.write( "c. Find standard error<BR>\n" );
document.write( "d. What is the probability the sample mean exceeds 101.2?\r<BR>\n" );
document.write( "\n" );
document.write( "thanks alot.. if you won't answer all, just parts of it will do because i need a guide to start the question, and then maybe i can just flow through.. :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #307950 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=307950\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When a production process is operating correctly, the number of units produced per hour has a normal distribution with a mean of 100 and standard deviation of 10. A random sample of 4 hours was taken. Complete parts (a) through (d)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "a. Find the mean of the sampling distribution of the sample means.<BR>\n" );
document.write( "mean of the sample means = 100<BR>\n" );
document.write( "std of the sample means = 10/sqrt(4) = 5<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "b. Find variance<BR>\n" );
document.write( "var of the sample means = 5^2 = 25<BR>\n" );
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document.write( "c. Find standard error<BR>\n" );
document.write( "10/sqrt(2)<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "d. What is the probability the sample mean exceeds 101.2?<BR>\n" );
document.write( "t(101.2) = (101.2-100)/[10/sqrt(4)] = 1.2/5 = 0.24<BR>\n" );
document.write( "P(x-bar > 101.2) = P(t > 0.24 when df = 3) = 0.4129<BR>\n" );
document.write( "======<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( "thanks alot.. if you won't answer all, just parts of it will do because i need a guide to start the question, and then maybe i can just flow through.. :)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );