document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=463673>Question 463673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ski shop manager claims that the average of the sales for her/his shop is $1800 a day during the winter months. Ten winter days are selected at random, and the mean of the sales is $1830. The standard deviation of the population is $200. Can one reject the claim at &#945; = 0.05? Find the 95% confidence interval of the mean. Does the confidence interval interpretation agree with the hypothesis test results? Explain. Assume that the variable is normally distributed </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #317665 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=317665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> H[o]=1800<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=1800 ALIGN=MIDDLE  ALT=\"mu=1800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n=10, m=1830, s=200<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=%28m-mu%29%2F%28s%2Fsqrt%28n%29%29=%281830-1800%29%2F%28200%2Fsqrt%2810%29%29=.474 ALIGN=MIDDLE  ALT=\"t=%28m-mu%29%2F%28s%2Fsqrt%28n%29%29=%281830-1800%29%2F%28200%2Fsqrt%2810%29%29=.474\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t[.025][9]=2.262 (two tailed)<BR>\n" );
document.write( "Since .474<2.262 then we accept the null hypothesis. The ski shop manager is not refuted.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
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