document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1148237>Question 1148237</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question 1<BR>\n" );
document.write( "The weight of potato chips in a medium‐size bag is stated to be 10 ounces. The amount that  the <BR>\n" );
document.write( "packaging machine puts in these bags is believed to have a Normal distribution with a mean of 10.2 <BR>\n" );
document.write( "ounces and a standard deviation of 0.14 ounces. <BR>\n" );
document.write( "(a) What fraction of all bags sold are underweight?   <BR>\n" );
document.write( "(b) Some of the chips are sold in “bargain packs” of 6 bags. What is the probability that the mean <BR>\n" );
document.write( "weight of the 6 bags is below the stated amount? <BR>\n" );
document.write( "(c) If the production engineer wants to change the value of the mean but maintain the standard <BR>\n" );
document.write( "deviation at 0.14 ounces so that at most 1.5% of all bags are underweight, how large does <BR>\n" );
document.write( "the engineer need to make that mean? \r<BR>\n" );
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document.write( "Question 2<BR>\n" );
document.write( "Police departments often try to control traffic speed by placing speed‐measuring machines on roads <BR>\n" );
document.write( "that tell motorists how fast they are driving. Traffic safety experts must determine where machines <BR>\n" );
document.write( "should be placed. In one recent test, police recorded the average speed clocked by cars driving on <BR>\n" );
document.write( "one busy street close to an elementary school. For a sample of 16 speeds, it was determined that <BR>\n" );
document.write( "the average amount over the speed limit for the 16 clocked speed was 11.6 mph.   <BR>\n" );
document.write( "Without the information of the population standard deviation, t‐distribution is used to construct the <BR>\n" );
document.write( "95% confidence interval  for  the unknown population mean. The confidence interval  ranged  from <BR>\n" );
document.write( "7.337 mph to 15.863 mph. <BR>\n" );
document.write( "(a) What assumption is needed to construct the mentioned confidence interval? Why? <BR>\n" );
document.write( "(b) Determine the sampling error and the sample standard deviation?   <BR>\n" );
document.write( "(c) The researchers commented that the confidence interval was too wide. With all other things <BR>\n" );
document.write( "remain unchanged, what sample size is needed in order to reduce the sampling error by 60%?   <BR>\n" );
document.write( "(d) The  researchers  later  found  that  one  sample  speed  is  mistakenly  recorded.  After  the <BR>\n" );
document.write( "correction, both  the sample mean and sample standard deviation become larger. Discuss <BR>\n" );
document.write( "how would this affects the mentioned confidence interval.     \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 #769598 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=769598\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "<H3>ONE and only ONE problem/question per post.</H3>\r<BR>\n" );
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document.write( "It is the POLICY and the RULE of this forum.\r<BR>\n" );
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