document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1015666>Question 1015666</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This data set represents a sample of the number of defective flash drives produced by a small manufacturing company over the last 30 weeks. The company’s operations manager believes that the number of defects produced by the process is less than seven defective flash drives per week. Construct a hypothesis test to verify the operations manager’s claim. Your hypothesis test should include null and alternative hypotheses, a t test statistic value, a p value, a decision, and a conclusion. Submit a Word file that includes the hypothesis test. <BR>\n" );
document.write( "Week	#Flashdrives<BR>\n" );
document.write( "1	6<BR>\n" );
document.write( "2	7<BR>\n" );
document.write( "3	6<BR>\n" );
document.write( "4	5<BR>\n" );
document.write( "5	7<BR>\n" );
document.write( "6	5<BR>\n" );
document.write( "7	6<BR>\n" );
document.write( "8	6<BR>\n" );
document.write( "9	8<BR>\n" );
document.write( "10	9<BR>\n" );
document.write( "11	9<BR>\n" );
document.write( "12	7<BR>\n" );
document.write( "13	5<BR>\n" );
document.write( "14	6<BR>\n" );
document.write( "15	8<BR>\n" );
document.write( "16	8<BR>\n" );
document.write( "17	9<BR>\n" );
document.write( "18	7<BR>\n" );
document.write( "19	6<BR>\n" );
document.write( "20	8<BR>\n" );
document.write( "21	5<BR>\n" );
document.write( "22	7<BR>\n" );
document.write( "23	6<BR>\n" );
document.write( "24	8<BR>\n" );
document.write( "25	10<BR>\n" );
document.write( "26	9<BR>\n" );
document.write( "27	7<BR>\n" );
document.write( "28	8<BR>\n" );
document.write( "29	7<BR>\n" );
document.write( "30	6<BR>\n" );
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 #632333 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=632333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5Bo%5D ALIGN=MIDDLE  ALT=\"H%5Bo%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu%3C=7 ALIGN=MIDDLE  ALT=\"mu%3C=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5Ba%5D ALIGN=MIDDLE  ALT=\"H%5Ba%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu%3E7 ALIGN=MIDDLE  ALT=\"mu%3E7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From the data, the mean is 7.033.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%2Fsqrt%28n%29=1.376736%2Fsqrt%2830%29=0.251356 ALIGN=MIDDLE  ALT=\"s%2Fsqrt%28n%29=1.376736%2Fsqrt%2830%29=0.251356\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Calculating the t score from this information,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=%287.033-7%29%2F0.251356=0.1326 ALIGN=MIDDLE  ALT=\"t=%287.033-7%29%2F0.251356=0.1326\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The critical t value for a one tailed test with 29 DOFs would be <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BCR%5D=1.699 ALIGN=MIDDLE  ALT=\"t%5BCR%5D=1.699\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%3Ct%5BCR%5D ALIGN=MIDDLE  ALT=\"t%3Ct%5BCR%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you don't have enough evidence to reject the null hypothesis.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );