document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=974224>Question 974224</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The recommended number of hours of sleep per night is 8 hours, but everybody \"knows\" that the average college student sleeps less than 7 hours. The number of hours slept last night by 10 randomly selected college students is listed below. Complete the following hypothesis test: Ho: &#956; = 7, Ha: &#956; < 7, &#945; = 0.05.\r<BR>\n" );
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document.write( "8	6.9	6.1	6.6	7.5	8	7.6	7.3	7.8	5.7\r<BR>\n" );
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document.write( "(a) Find t. (Give your answer correct to two decimal places.)<BR>\n" );
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document.write( "(ii) Find the p-value. (Give your answer correct to four decimal places.)<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 #596191 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=596191\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The recommended number of hours of sleep per night is 8 hours, but everybody \"knows\" that the average college student sleeps less than 7 hours. The number of hours slept last night by 10 randomly selected college students is listed below.<BR>\n" );
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document.write( "Complete the following hypothesis test using &#945; = 0.05    : <BR>\n" );
document.write( "Ho: &#956; = 7<BR>\n" );
document.write( "Ha: &#956; < 7 \r<BR>\n" );
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document.write( " DATA:<BR>\n" );
document.write( "8	6.9	6.1	6.6	7.5	8	7.6	7.3	7.8	5.7<BR>\n" );
document.write( "x-bar = 7.15<BR>\n" );
document.write( "s = 0.8<BR>\n" );
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document.write( "(a) Find t. (Give your answer correct to two decimal places.)<BR>\n" );
document.write( "t(7.15) = (7.15-7)/0.8 = 0.15/0.8 = 0.19<BR>\n" );
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document.write( "(ii) Find the p-value. (Give your answer correct to four decimal places.)<BR>\n" );
document.write( "p-value = P(t < 0.19 when df = 9) = tcdf(-100,0.19,9) = 0.58<BR>\n" );
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document.write( "Conclusion:: Since the p-value is greater than alpha, fail to <BR>\n" );
document.write( "reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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