document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204608>Question 1204608</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Students of the author estimated the length of one minute without reference to a watch or clock, and the times<BR>\n" );
document.write( "(seconds) are listed below. Uses a 0.05 significance level to test the claim that these times are from a population with<BR>\n" );
document.write( "mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? Assume times<BR>\n" );
document.write( "are normally distributed.<BR>\n" );
document.write( "69 81 39 65 42 21 60 63 66 48 64 70 96 91 65<BR>\n" );
document.write( "a. State the null and alternative hypotheses.<BR>\n" );
document.write( "b. Use technology to calculate the test statistic and P  -  Value. [Put the values in L1 (say). Then go to STAT ----<BR>\n" );
document.write( "TESTS ---- T-Test --- Input: select Data, and complete the rest]<BR>\n" );
document.write( "c. Use Critical  -  Value Method to do the test. Find the critical value and use the Test Statistic you calculated from<BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "d. Use P  -  Value Method to do the test. The P  -  Value you calculated from (b).<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 #840962 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=840962\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i used a one sample t-test calculator at <a  rel=nofollow HREF= \"https://www.statskingdom.com/130MeanT1.html\" target = \"_blank\">https://www.statskingdom.com/130MeanT1.html</a><BR>\n" );
document.write( "the sample mean was 62.6667.<BR>\n" );
document.write( "the sample standard deviation was 19.4814.<BR>\n" );
document.write( "the t-score was equal to .5301 and the p-score was equal to .6043.<BR>\n" );
document.write( "sample size was 15; degrees of freedom was 14; critical t-score at 95% confidence interval was t = plus or minus 2.1448; critical p-score was .05 (.025 at each end of the confidence interval).<BR>\n" );
document.write( "the test t-score was less than the critical t-score and the test p-score was greater than the critical p-score.<BR>\n" );
document.write( "this indicates the reqults were not significant.<BR>\n" );
document.write( "the conclusion was that there was not suficient information to say that the number of seconds in a minute was different than the expected value of 60.<BR>\n" );
document.write( "i used the ti-84 plus calculator (entered the data in L1 and then did a t-test.<BR>\n" );
document.write( "ti-84 commands were:<BR>\n" );
document.write( "stat > 1 to get into the list edit mode.<BR>\n" );
document.write( "then enter the data in l1.<BR>\n" );
document.write( "then quit (2d mode)<BR>\n" );
document.write( "then stat > tests > 2 for t-test.<BR>\n" );
document.write( "then data for input, 60 for mean, L1 for list (2d 1), 1 for freq, not equal for mu0, then calculate.<BR>\n" );
document.write( "that gives the results of the t-test on the data that is stored in L1.<BR>\n" );
document.write( "the output of the online calculator is shown below:\r<BR>\n" );
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