document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150202>Question 150202</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below. The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages. (a) At the .01 level of significance, is the true mean greater than 10? (b) Use Excel to find the right-tail p-value. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110224 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=110224\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below. The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages.<BR>\n" );
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document.write( "(a) At the .01 level of significance, is the true mean greater than 10?<BR>\n" );
document.write( "Ho: u = 10<BR>\n" );
document.write( "Ha: u > 10<BR>\n" );
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document.write( "I ran a Z-test and got the following results:<BR>\n" );
document.write( "test statistic: z(14.44) = 5.9028...<BR>\n" );
document.write( "P-value: 0.000000001.793...<BR>\n" );
document.write( "Conclusion: Since p-value is less than 1%, reject Ho.<BR>\n" );
document.write( "The mean number of transmissions of more than 10 pages is greater than 10.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "(b) Use Excel to find the right-tail p-value.<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );