document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133946>Question 133946</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are the incoming inspector for potato chips – you are to ensure that each bag has 16 ounces or more in it.   You want your testing to be at the level of significance of 0.05. You pull a sample of 49 bags of chips from a recent truckload. Your sample statistics are:<BR>\n" );
document.write( "                    x-bar (the sample mean) =   15.9 ounces<BR>\n" );
document.write( "                    s ( the sample standard deviation) = 0.35 ounces<BR>\n" );
document.write( "(a)   what is the null and alternative hypothesis<BR>\n" );
document.write( "(b)   one or two tailed test ??  <BR>\n" );
document.write( "(c)   what is the critical z value for your test at the 0.05 level of significance?? <BR>\n" );
document.write( "(d)   what is the calculated z value ??<BR>\n" );
document.write( "(e)   what is your decision about the load of potato chips ??<BR>\n" );
document.write( "             -- reject ??     -- not-reject ?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98295 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=98295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are the incoming inspector for potato chips – you are to ensure that each bag has 16 ounces or more in it. You want your testing to be at the level of significance of 0.05. You pull a sample of 49 bags of chips from a recent truckload. Your sample statistics are:<BR>\n" );
document.write( "x-bar (the sample mean) = 15.9 ounces<BR>\n" );
document.write( "s ( the sample standard deviation) = 0.35 ounces<BR>\n" );
document.write( "(a) what is the null and alternative hypothesis<BR>\n" );
document.write( "Ho: mu = 16 oz (Claim)<BR>\n" );
document.write( "Ha: mu < 16 oz<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "(b) one or two tailed test ?? <BR>\n" );
document.write( "Ans: one<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "(c) what is the critical z value for your test at the 0.05 level of significance?? <BR>\n" );
document.write( "z= -1.645<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "(d) what is the calculated z value ??<BR>\n" );
document.write( "z(15.9) = (15.9-16)/[0.35/sqrt(49)]= -0.1*7/0.35= -2<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "(e) what is your decision about the load of potato chips ??<BR>\n" );
document.write( "-- reject ?? -- not-reject ??<BR>\n" );
document.write( "since -2 is less that -1.645, reject Ho<BR>\n" );
document.write( "The mean weight of the bags is statistically less than 16 oz.<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );