document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=856514>Question 856514</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.<BR>\n" );
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document.write( "6.1 \r<BR>\n" );
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document.write( "(a) Find t. (Give your answer correct to two decimal places.)<BR>\n" );
document.write( "(this is what I answered but it was counted wrong) -12.91 . \r<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 #516026 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=516026\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what did You get for sample mean and use for standard deviation?<BR>\n" );
document.write( "re Reply:<BR>\n" );
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document.write( "Yes, mean = 6.71<BR>\n" );
document.write( "	x	x - 6.71	(x-6.71)^2<BR>\n" );
document.write( "	6.1	-0.61	0.3721<BR>\n" );
document.write( "	6	-0.71	0.5041<BR>\n" );
document.write( "	6.3	-0.41	0.1681<BR>\n" );
document.write( "	6.6	-0.11	0.0121<BR>\n" );
document.write( "	7.7	0.99	     0.9801<BR>\n" );
document.write( "	7.7	0.99	     0.9801<BR>\n" );
document.write( "	7.8	1.09	     1.1881<BR>\n" );
document.write( "	6.3	-0.41	0.1681<BR>\n" );
document.write( "	6.4	-0.31	0.0961<BR>\n" );
document.write( "	6.2	-0.51	0.2601<BR>\n" );
document.write( "sum     	67.1		4.729<BR>\n" );
document.write( "sum/10	6.71	   sum/9	0.525444444<BR>\n" );
document.write( "		   sqrt(sum/9)	0.724875468<BR>\n" );
document.write( "Sample SD = .725<BR>\n" );
document.write( "a)  t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286.71-7.00%29%2F%28.725%2Fsqrt%2810%29%29+=+%28-.29%29%2F%28.229%29+=highlight%28+-1.2664%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "ii) p-value =  NORMSDIST(-1.2664) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight_green%28.1027%29 ALIGN=MIDDLE  ALT=\"+highlight_green%28.1027%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .1027>.05  Sample does NOT show mean is <7<BR>\n" );
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