document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157881>Question 1157881</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An employment information service claims the mean annual salary for senior level product engineers is ​$99,000. The annual salaries​ (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At alphaequals0.05​, test the claim that the mean salary is ​$99,000. Complete parts​ (a) through​ (e) below. Assume the population is normally distributed\r<BR>\n" );
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document.write( "100,568<BR>\n" );
document.write( "96,388<BR>\n" );
document.write( "93,498<BR>\n" );
document.write( "112,763<BR>\n" );
document.write( "82,529<BR>\n" );
document.write( "74,180<BR>\n" );
document.write( "76,994<BR>\n" );
document.write( "81,043<BR>\n" );
document.write( "102,444<BR>\n" );
document.write( "76,222<BR>\n" );
document.write( "104,001<BR>\n" );
document.write( "103,983<BR>\n" );
document.write( "91,064<BR>\n" );
document.write( "82,156<BR>\n" );
document.write( "85,026<BR>\n" );
document.write( "110,338 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #780782 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=780782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use a calculator to get the mean and sd of these data.<BR>\n" );
document.write( "The calculator with the t-test (random sample, normal, using sd of sample to approximate sd of distribution).<BR>\n" );
document.write( "the mean is $91979.93<BR>\n" );
document.write( "sd is $13105.58\r<BR>\n" );
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document.write( "the test statistic is t(0.975, df=15)<BR>\n" );
document.write( "critical value is |t|>2.131<BR>\n" );
document.write( "the calculation is t(0.975,df=15)=(x bar-mean)/s/sqrt(n)<BR>\n" );
document.write( "=-7020.07*sqrt(15)/13105.58<BR>\n" );
document.write( "= -2.07<BR>\n" );
document.write( "The null hypothesis is not rejected at the 0.05 level. There is not sufficient evidence to conclude the true mean is not $99000.<BR>\n" );
document.write( "p-value is 0.057\r<BR>\n" );
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document.write( "This can be put into the t-test in STAT TESTS, with Data and the same results will be given. \r<BR>\n" );
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document.write( " </SPAN>\n" );
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